4764029400 has 144 divisors (see below), whose sum is σ = 17229990960. Its totient is φ = 1172678400.

The previous prime is 4764029393. The next prime is 4764029401. The reversal of 4764029400 is 49204674.

4764029400 is a `hidden beast` number, since 4 + 7 + 640 + 2 + 9 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×4764029400² = 45391952248128720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764029401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78396 + ... + 125195.

It is an arithmetic number, because the mean of its divisors is an integer number (119652715).

Almost surely, 2^4764029400 is an apocalyptic number.

4764029400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4764029400 is an abundant number, since it is smaller than the sum of its proper divisors (12465961560).

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

4764029400 is a wasteful number, since it uses less digits than its factorization.

4764029400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203626 (or 203614 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4764029400 is about 69021.9486830095. The cubic root of 4764029400 is about 1682.6410415571.

The spelling of 4764029400 in words is "four billion, seven hundred sixty-four million, twenty-nine thousand, four hundred".