4512758400 has 384 divisors, whose sum is σ = 17391000000. Its totient is φ = 1139650560.

The previous prime is 4512758399. The next prime is 4512758413. The reversal of 4512758400 is 48572154.

4512758400 is a `hidden beast` number, since 4 + 51 + 27 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640226 + ... + 1642974.

Almost surely, 2^4512758400 is an apocalyptic number.

4512758400 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 4512758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695500000).

4512758400 is an abundant number, since it is smaller than the sum of its proper divisors (12878241600).

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

4512758400 is a wasteful number, since it uses less digits than its factorization.

4512758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4512758400 is about 67177.0675156336. The cubic root of 4512758400 is about 1652.5224228951.

The spelling of 4512758400 in words is "four billion, five hundred twelve million, seven hundred fifty-eight thousand, four hundred".