4292870400 has 1215 divisors, whose sum is σ = 19993733991. Its totient is φ = 905748480.

The previous prime is 4292870389. The next prime is 4292870401. The reversal of 4292870400 is 40782924.

The square root of 4292870400 is 65520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1106493696 + 3186376704 = 33264^2 + 56448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4292870401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 330220794 + ... + 330220806.

Almost surely, 2^4292870400 is an apocalyptic number.

4292870400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4292870400 is the 65520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4292870400

4292870400 is an abundant number, since it is smaller than the sum of its proper divisors (15700863591).

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

4292870400 is a wasteful number, since it uses less digits than its factorization.

4292870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 4292870400 is about 1625.2340996070.

Multiplying 4292870400 by its sum of digits (36), we get a square (154543334400 = 393120²).

4292870400 divided by its sum of digits (36) gives a square (119246400 = 10920²).

The spelling of 4292870400 in words is "four billion, two hundred ninety-two million, eight hundred seventy thousand, four hundred".