4072992400 has 45 divisors (see below), whose sum is σ = 9788431753. Its totient is φ = 1628686400.

The previous prime is 4072992383. The next prime is 4072992401. The reversal of 4072992400 is 42992704.

The square root of 4072992400 is 63820.

It is a perfect power (a square), and thus also a powerful number.

4072992400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1466277264 + 2606715136 = 38292^2 + 51056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072992400.

It is not an unprimeable number, because it can be changed into a prime (4072992401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1274805 + ... + 1277995.

Almost surely, 2^4072992400 is an apocalyptic number.

4072992400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4072992400 is the 63820-th square number.

It is an amenable number.

4072992400 is an abundant number, since it is smaller than the sum of its proper divisors (5715439353).

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

4072992400 is an frugal number, since it uses more digits than its factorization.

4072992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 4072992400 is about 1596.9985919893.

The spelling of 4072992400 in words is "four billion, seventy-two million, nine hundred ninety-two thousand, four hundred".