4792541400 has 144 divisors (see below), whose sum is σ = 17041822200. Its totient is φ = 1202826240.

The previous prime is 4792541389. The next prime is 4792541407. The reversal of 4792541400 is 41452974.

It is a happy number.

4792541400 is a `hidden beast` number, since 4 + 79 + 2 + 541 + 40 + 0 = 666.

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 (4792541407) 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, 47710 + ... + 108909.

Almost surely, 2^4792541400 is an apocalyptic number.

4792541400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4792541400 is an abundant number, since it is smaller than the sum of its proper divisors (12249280800).

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

4792541400 is a wasteful number, since it uses less digits than its factorization.

4792541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156658 (or 156646 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4792541400 is about 69228.1835670993. The cubic root of 4792541400 is about 1685.9911517036.

The spelling of 4792541400 in words is "four billion, seven hundred ninety-two million, five hundred forty-one thousand, four hundred".