457470464 has 80 divisors (see below), whose sum is σ = 1020872160. Its totient is φ = 202997760.

The previous prime is 457470463. The next prime is 457470491. The reversal of 457470464 is 464074754.

It is not an unprimeable number, because it can be changed into a prime (457470463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241232 + ... + 243120.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2^457470464 is an apocalyptic number.

457470464 is a gapful number since it is divisible by the number (44) 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 457470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

457470464 is an abundant number, since it is smaller than the sum of its proper divisors (563401696).

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

457470464 is a wasteful number, since it uses less digits than its factorization.

457470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The square root of 457470464 is about 21388.5591847604. The cubic root of 457470464 is about 770.5266897482.

The spelling of 457470464 in words is "four hundred fifty-seven million, four hundred seventy thousand, four hundred sixty-four".