4754576400 has 240 divisors, whose sum is σ = 17778100224. Its totient is φ = 1063549440.

The previous prime is 4754576389. The next prime is 4754576413. The reversal of 4754576400 is 46754574.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 388779 + ... + 400821.

Almost surely, 2^4754576400 is an apocalyptic number.

4754576400 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 4754576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889050112).

4754576400 is an abundant number, since it is smaller than the sum of its proper divisors (13023523824).

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

4754576400 is a wasteful number, since it uses less digits than its factorization.

4754576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 4754576400 is about 68953.4364625868. The cubic root of 4754576400 is about 1681.5273807942.

The spelling of 4754576400 in words is "four billion, seven hundred fifty-four million, five hundred seventy-six thousand, four hundred".