46492574400 has 840 divisors, whose sum is σ = 182928768000. Its totient is φ = 11548293120.

The previous prime is 46492574399. The next prime is 46492574431. The reversal of 46492574400 is 447529464.

It is a super-4 number, since 4×46492574400⁴ (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194529481 + ... + 194529719.

Almost surely, 2^46492574400 is an apocalyptic number.

46492574400 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 46492574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91464384000).

46492574400 is an abundant number, since it is smaller than the sum of its proper divisors (136436193600).

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

46492574400 is a wasteful number, since it uses less digits than its factorization.

46492574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

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

The spelling of 46492574400 in words is "forty-six billion, four hundred ninety-two million, five hundred seventy-four thousand, four hundred".