457470000 has 600 divisors, whose sum is σ = 1903565664. Its totient is φ = 101376000.

The previous prime is 457469993. The next prime is 457470029. The reversal of 457470000 is 74754.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 19889989 + ... + 19890011.

Almost surely, 2^457470000 is an apocalyptic number.

457470000 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 457470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782832).

457470000 is an abundant number, since it is smaller than the sum of its proper divisors (1446095664).

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

457470000 is a wasteful number, since it uses less digits than its factorization.

457470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 457470000 is about 21388.5483378372. The cubic root of 457470000 is about 770.5264292399.

The spelling of 457470000 in words is "four hundred fifty-seven million, four hundred seventy thousand".