424971456 has 168 divisors, whose sum is σ = 1392228864. Its totient is φ = 112020480.

The previous prime is 424971439. The next prime is 424971493. The reversal of 424971456 is 654179424.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226201 + ... + 228071.

Almost surely, 2^424971456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696114432).

424971456 is an abundant number, since it is smaller than the sum of its proper divisors (967257408).

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

424971456 is a wasteful number, since it uses less digits than its factorization.

424971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1896 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 424971456 is about 20614.8358227758. The cubic root of 424971456 is about 751.8304657811.

The spelling of 424971456 in words is "four hundred twenty-four million, nine hundred seventy-one thousand, four hundred fifty-six".