470758400 has 264 divisors, whose sum is σ = 1388946816. Its totient is φ = 154828800.

The previous prime is 470758399. The next prime is 470758403. The reversal of 470758400 is 4857074.

It is a happy number.

It is a super-2 number, since 2×470758400² = 443226942341120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470758403) 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, 6630365 + ... + 6630435.

Almost surely, 2^470758400 is an apocalyptic number.

470758400 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 470758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694473408).

470758400 is an abundant number, since it is smaller than the sum of its proper divisors (918188416).

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

470758400 is a wasteful number, since it uses less digits than its factorization.

470758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 470758400 is about 21696.9675300490. The cubic root of 470758400 is about 777.9159796745.

The spelling of 470758400 in words is "four hundred seventy million, seven hundred fifty-eight thousand, four hundred".