7490400 has 72 divisors (see below), whose sum is σ = 24389064. Its totient is φ = 1996800.

The previous prime is 7490377. The next prime is 7490401. The reversal of 7490400 is 40947.

It is a super-2 number, since 2×7490400² = 112212184320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7490401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 3960.

It is an arithmetic number, because the mean of its divisors is an integer number (338737).

Almost surely, 2^7490400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194532).

7490400 is an abundant number, since it is smaller than the sum of its proper divisors (16898664).

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

7490400 is a wasteful number, since it uses less digits than its factorization.

7490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7490400 is about 2736.8595141147. The cubic root of 7490400 is about 195.6598292227.

The spelling of 7490400 in words is "seven million, four hundred ninety thousand, four hundred".