7452900 has 243 divisors, whose sum is σ = 29425851. Its totient is φ = 1572480.

The previous prime is 7452877. The next prime is 7452901. The reversal of 7452900 is 92547.

7452900 = T₃₃₅ + T₃₃₆ + ... + T₄₃₄.

The square root of 7452900 is 2730.

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

7452900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 5531904 = 1386^2 + 2352^2 .

It is not an unprimeable number, because it can be changed into a prime (7452901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 573294 + ... + 573306.

Almost surely, 2^7452900 is an apocalyptic number.

7452900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7452900 is the 2730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7452900

7452900 is an abundant number, since it is smaller than the sum of its proper divisors (21972951).

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

7452900 is a wasteful number, since it uses less digits than its factorization.

7452900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 7452900 is about 195.3327651506.

The spelling of 7452900 in words is "seven million, four hundred fifty-two thousand, nine hundred".