457969680 has 240 divisors, whose sum is σ = 1835418240. Its totient is φ = 104654592.

The previous prime is 457969663. The next prime is 457969691. The reversal of 457969680 is 86969754.

457969680 is a `hidden beast` number, since 4 + 579 + 6 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103677 + ... + 108003.

It is an arithmetic number, because the mean of its divisors is an integer number (7647576).

Almost surely, 2^457969680 is an apocalyptic number.

457969680 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 457969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917709120).

457969680 is an abundant number, since it is smaller than the sum of its proper divisors (1377448560).

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

457969680 is a wasteful number, since it uses less digits than its factorization.

457969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 457969680 is about 21400.2261670292. The cubic root of 457969680 is about 770.8068677027.

The spelling of 457969680 in words is "four hundred fifty-seven million, nine hundred sixty-nine thousand, six hundred eighty".