424957680 has 120 divisors (see below), whose sum is σ = 1631047392. Its totient is φ = 97132032.

The previous prime is 424957651. The next prime is 424957681. The reversal of 424957680 is 86759424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (424957681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37119 + ... + 47198.

Almost surely, 2^424957680 is an apocalyptic number.

424957680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424957680 is an abundant number, since it is smaller than the sum of its proper divisors (1206089712).

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

424957680 is a wasteful number, since it uses less digits than its factorization.

424957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84343 (or 84334 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 424957680 is about 20614.5016917703. The cubic root of 424957680 is about 751.8223418407.

The spelling of 424957680 in words is "four hundred twenty-four million, nine hundred fifty-seven thousand, six hundred eighty".