473457600 has 756 divisors, whose sum is σ = 2170483848. Its totient is φ = 96768000.

The previous prime is 473457571. The next prime is 473457601. The reversal of 473457600 is 6754374.

473457600 is a `hidden beast` number, since 4 + 7 + 3 + 45 + 7 + 600 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473457601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7761570 + ... + 7761630.

Almost surely, 2^473457600 is an apocalyptic number.

473457600 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 473457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085241924).

473457600 is an abundant number, since it is smaller than the sum of its proper divisors (1697026248).

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

473457600 is a wasteful number, since it uses less digits than its factorization.

473457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 473457600 is about 21759.0808629409. The cubic root of 473457600 is about 779.3999329541.

It can be divided in two parts, 47345 and 7600, that added together give a palindrome (54945).

The spelling of 473457600 in words is "four hundred seventy-three million, four hundred fifty-seven thousand, six hundred".