4975790400 has 252 divisors, whose sum is σ = 20211991072. Its totient is φ = 1137300480.

The previous prime is 4975790383. The next prime is 4975790419. The reversal of 4975790400 is 40975794.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76119 + ... + 125481.

Almost surely, 2^4975790400 is an apocalyptic number.

4975790400 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 4975790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105995536).

4975790400 is an abundant number, since it is smaller than the sum of its proper divisors (15236200672).

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

4975790400 is a wasteful number, since it uses less digits than its factorization.

4975790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49398 (or 49380 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4975790400 is about 70539.2826728483. The cubic root of 4975790400 is about 1707.2116247440.

The spelling of 4975790400 in words is "four billion, nine hundred seventy-five million, seven hundred ninety thousand, four hundred".