457470720 has 576 divisors, whose sum is σ = 1946542080. Its totient is φ = 99532800.

The previous prime is 457470691. The next prime is 457470773. The reversal of 457470720 is 27074754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 7499490 + ... + 7499550.

Almost surely, 2^457470720 is an apocalyptic number.

457470720 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 457470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973271040).

457470720 is an abundant number, since it is smaller than the sum of its proper divisors (1489071360).

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

457470720 is a wasteful number, since it uses less digits than its factorization.

457470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 457470720 is about 21388.5651692674. The cubic root of 457470720 is about 770.5268334768.

The spelling of 457470720 in words is "four hundred fifty-seven million, four hundred seventy thousand, seven hundred twenty".