46512400 has 135 divisors (see below), whose sum is σ = 126918309. Its totient is φ = 16368000.

The previous prime is 46512397. The next prime is 46512443. The reversal of 46512400 is 421564.

The square root of 46512400 is 6820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16744464 + 29767936 = 4092^2 + 5456^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1500385 + ... + 1500415.

Almost surely, 2^46512400 is an apocalyptic number.

46512400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46512400 is the 6820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46512400

46512400 is an abundant number, since it is smaller than the sum of its proper divisors (80405909).

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

46512400 is a wasteful number, since it uses less digits than its factorization.

46512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The cubic root of 46512400 is about 359.6302788614.

Adding to 46512400 its reverse (421564), we get a palindrome (46933964).

The spelling of 46512400 in words is "forty-six million, five hundred twelve thousand, four hundred".