5920400 has 90 divisors (see below), whose sum is σ = 15377922. Its totient is φ = 2188800.

The previous prime is 5920399. The next prime is 5920423. The reversal of 5920400 is 40295.

5920400 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 5914624 = 76^2 + 2432^2 .

It is a super-2 number, since 2×5920400² = 70102272320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144380 + ... + 144420.

Almost surely, 2^5920400 is an apocalyptic number.

5920400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688961).

5920400 is an abundant number, since it is smaller than the sum of its proper divisors (9457522).

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

5920400 is a wasteful number, since it uses less digits than its factorization.

5920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5920400 is about 2433.1872102245. The cubic root of 5920400 is about 180.9049081816.

Adding to 5920400 its reverse (40295), we get a palindrome (5960695).

The spelling of 5920400 in words is "five million, nine hundred twenty thousand, four hundred".