473828406374400 has 4992 divisors, whose sum is σ = 2156669278617600. Its totient is φ = 88809799680000.

The previous prime is 473828406374363. The next prime is 473828406374417. The reversal of 473828406374400 is 4473604828374.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 989203353361 + ... + 989203353839.

Almost surely, 2^{473828406374400} is an apocalyptic number.

473828406374400 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 473828406374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078334639308800).

473828406374400 is an abundant number, since it is smaller than the sum of its proper divisors (1682840872243200).

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

473828406374400 is a wasteful number, since it uses less digits than its factorization.

473828406374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 60.

The spelling of 473828406374400 in words is "four hundred seventy-three trillion, eight hundred twenty-eight billion, four hundred six million, three hundred seventy-four thousand, four hundred".