4537454400 has 252 divisors, whose sum is σ = 16371368832. Its totient is φ = 1191674880.

The previous prime is 4537454293. The next prime is 4537454419. The reversal of 4537454400 is 44547354.

4537454400 is a `hidden beast` number, since 45 + 3 + 74 + 544 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 962449 + ... + 967151.

Almost surely, 2^4537454400 is an apocalyptic number.

4537454400 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 4537454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185684416).

4537454400 is an abundant number, since it is smaller than the sum of its proper divisors (11833914432).

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

4537454400 is a wasteful number, since it uses less digits than its factorization.

4537454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4537454400 is about 67360.6294507407. The cubic root of 4537454400 is about 1655.5314084098.

The spelling of 4537454400 in words is "four billion, five hundred thirty-seven million, four hundred fifty-four thousand, four hundred".