424959480 has 128 divisors (see below), whose sum is σ = 1545350400. Its totient is φ = 103017600.

The previous prime is 424959461. The next prime is 424959487. The reversal of 424959480 is 84959424.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424959487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6006 + ... + 29765.

It is an arithmetic number, because the mean of its divisors is an integer number (12073050).

Almost surely, 2^424959480 is an apocalyptic number.

424959480 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 424959480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772675200).

424959480 is an abundant number, since it is smaller than the sum of its proper divisors (1120390920).

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

424959480 is a wasteful number, since it uses less digits than its factorization.

424959480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35802 (or 35792 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 424959480 is about 20614.5453503103. The cubic root of 424959480 is about 751.8234033411.

The spelling of 424959480 in words is "four hundred twenty-four million, nine hundred fifty-nine thousand, four hundred eighty".