4792400 has 30 divisors (see below), whose sum is σ = 11514702. Its totient is φ = 1916800.

The previous prime is 4792391. The next prime is 4792409. The reversal of 4792400 is 42974.

It is an interprime number because it is at equal distance from previous prime (4792391) and next prime (4792409).

It can be written as a sum of positive squares in 3 ways, for example, as 1317904 + 3474496 = 1148^2 + 1864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4792400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5591 + ... + 6390.

Almost surely, 2^4792400 is an apocalyptic number.

4792400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4792400 is an abundant number, since it is smaller than the sum of its proper divisors (6722302).

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

4792400 is a wasteful number, since it uses less digits than its factorization.

4792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4792400 is about 2189.1550881562. The cubic root of 4792400 is about 168.5974570279.

The spelling of 4792400 in words is "four million, seven hundred ninety-two thousand, four hundred".