4536914400 has 108 divisors (see below), whose sum is σ = 15998319792. Its totient is φ = 1209841920.

The previous prime is 4536914363. The next prime is 4536914419. The reversal of 4536914400 is 44196354.

4536914400 is a `hidden beast` number, since 453 + 69 + 144 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 307864 + ... + 322263.

Almost surely, 2^4536914400 is an apocalyptic number.

4536914400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4536914400 is an abundant number, since it is smaller than the sum of its proper divisors (11461405392).

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

4536914400 is a wasteful number, since it uses less digits than its factorization.

4536914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630153 (or 630137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4536914400 is about 67356.6210553944. The cubic root of 4536914400 is about 1655.4657311711.

It can be divided in two parts, 45369 and 14400, that multiplied together give a square (653313600 = 25560²).

The spelling of 4536914400 in words is "four billion, five hundred thirty-six million, nine hundred fourteen thousand, four hundred".