424932480 has 320 divisors, whose sum is σ = 1735778880. Its totient is φ = 97044480.

The previous prime is 424932479. The next prime is 424932481. The reversal of 424932480 is 84239424.

It is an interprime number because it is at equal distance from previous prime (424932479) and next prime (424932481).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×424932480² = 361135225117900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (424932481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362295 + ... + 363465.

It is an arithmetic number, because the mean of its divisors is an integer number (5424309).

Almost surely, 2^424932480 is an apocalyptic number.

424932480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867889440).

424932480 is an abundant number, since it is smaller than the sum of its proper divisors (1310846400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424932480 is a wasteful number, since it uses less digits than its factorization.

424932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 424932480 is about 20613.8904625013. The cubic root of 424932480 is about 751.8074805196.

The spelling of 424932480 in words is "four hundred twenty-four million, nine hundred thirty-two thousand, four hundred eighty".