477012412800 has 1152 divisors, whose sum is σ = 2215580515200. Its totient is φ = 99109785600.

The previous prime is 477012412787. The next prime is 477012412819. The reversal of 477012412800 is 8214210774.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46564479 + ... + 46574721.

It is an arithmetic number, because the mean of its divisors is an integer number (1923246975).

Almost surely, 2^477012412800 is an apocalyptic number.

477012412800 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 477012412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107790257600).

477012412800 is an abundant number, since it is smaller than the sum of its proper divisors (1738568102400).

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

477012412800 is a wasteful number, since it uses less digits than its factorization.

477012412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 477012412800 in words is "four hundred seventy-seven billion, twelve million, four hundred twelve thousand, eight hundred".