471736742400 has 2400 divisors, whose sum is σ = 2298680017920. Its totient is φ = 92565504000.

The previous prime is 471736742327. The next prime is 471736742551. The reversal of 471736742400 is 4247637174.

471736742400 is a `hidden beast` number, since 4 + 7 + 173 + 6 + 74 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1516838245 + ... + 1516838555.

Almost surely, 2^471736742400 is an apocalyptic number.

471736742400 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 471736742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149340008960).

471736742400 is an abundant number, since it is smaller than the sum of its proper divisors (1826943275520).

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

471736742400 is a wasteful number, since it uses less digits than its factorization.

471736742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 471736742400 in words is "four hundred seventy-one billion, seven hundred thirty-six million, seven hundred forty-two thousand, four hundred".