7464400 has 30 divisors (see below), whose sum is σ = 17934182. Its totient is φ = 2985600.

The previous prime is 7464371. The next prime is 7464407. The reversal of 7464400 is 44647.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 7463824 = 24^2 + 2732^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7464407) 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, 8931 + ... + 9730.

Almost surely, 2^7464400 is an apocalyptic number.

It is an amenable number.

7464400 is an abundant number, since it is smaller than the sum of its proper divisors (10469782).

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

7464400 is a wasteful number, since it uses less digits than its factorization.

7464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18679 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 7464400 is about 2732.1054152430. The cubic root of 7464400 is about 195.4331812039.

The spelling of 7464400 in words is "seven million, four hundred sixty-four thousand, four hundred".