46394375400 has 192 divisors, whose sum is σ = 160231560000. Its totient is φ = 12338645760.

The previous prime is 46394375333. The next prime is 46394375407. The reversal of 46394375400 is 457349364.

46394375400 is a `hidden beast` number, since 4 + 63 + 9 + 43 + 7 + 540 + 0 = 666.

It is a super-2 number, since 2×46394375400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46394375407) 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, 2035266 + ... + 2057934.

It is an arithmetic number, because the mean of its divisors is an integer number (834539375).

Almost surely, 2^46394375400 is an apocalyptic number.

46394375400 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 46394375400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80115780000).

46394375400 is an abundant number, since it is smaller than the sum of its proper divisors (113837184600).

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

46394375400 is a wasteful number, since it uses less digits than its factorization.

46394375400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23073 (or 23058 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 46394375400 in words is "forty-six billion, three hundred ninety-four million, three hundred seventy-five thousand, four hundred".