4772090400 has 1152 divisors, whose sum is σ = 21598617600. Its totient is φ = 903168000.

The previous prime is 4772090399. The next prime is 4772090419. The reversal of 4772090400 is 40902774.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153938385 + ... + 153938415.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2^4772090400 is an apocalyptic number.

4772090400 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 4772090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799308800).

4772090400 is an abundant number, since it is smaller than the sum of its proper divisors (16826527200).

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

4772090400 is a wasteful number, since it uses less digits than its factorization.

4772090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4772090400 is about 69080.3184706035. The cubic root of 4772090400 is about 1683.5895472068.

The spelling of 4772090400 in words is "four billion, seven hundred seventy-two million, ninety thousand, four hundred".