473856134400 has 1296 divisors, whose sum is σ = 1935607988160. Its totient is φ = 113338368000.

The previous prime is 473856134371. The next prime is 473856134459. The reversal of 473856134400 is 4431658374.

473856134400 is a `hidden beast` number, since 4 + 73 + 85 + 61 + 3 + 440 + 0 = 666.

It is a super-2 number, since 2×473856134400² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2739052714 + ... + 2739052886.

Almost surely, 2^473856134400 is an apocalyptic number.

473856134400 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 473856134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967803994080).

473856134400 is an abundant number, since it is smaller than the sum of its proper divisors (1461751853760).

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

473856134400 is a wasteful number, since it uses less digits than its factorization.

473856134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 473856134400 in words is "four hundred seventy-three billion, eight hundred fifty-six million, one hundred thirty-four thousand, four hundred".