46072055400 has 192 divisors, whose sum is σ = 163350794880. Its totient is φ = 10522752000.

The previous prime is 46072055383. The next prime is 46072055401. The reversal of 46072055400 is 455027064.

46072055400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46072055401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6872050 + ... + 6878750.

It is an arithmetic number, because the mean of its divisors is an integer number (850785390).

Almost surely, 2^46072055400 is an apocalyptic number.

46072055400 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 46072055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81675397440).

46072055400 is an abundant number, since it is smaller than the sum of its proper divisors (117278739480).

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

46072055400 is a wasteful number, since it uses less digits than its factorization.

46072055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 46072055400 in words is "forty-six billion, seventy-two million, fifty-five thousand, four hundred".