1452372100 has 81 divisors (see below), whose sum is σ = 3270882447. Its totient is φ = 559759680.

The previous prime is 1452372079. The next prime is 1452372121. The reversal of 1452372100 is 12732541.

It is a happy number.

The square root of 1452372100 is 38110.

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

It is an interprime number because it is at equal distance from previous prime (1452372079) and next prime (1452372121).

It can be written as a sum of positive squares in 4 ways, for example, as 137874564 + 1314497536 = 11742^2 + 36256^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14100649 + ... + 14100751.

Almost surely, 2^1452372100 is an apocalyptic number.

1452372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1452372100 is the 38110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452372100

1452372100 is an abundant number, since it is smaller than the sum of its proper divisors (1818510347).

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

1452372100 is a wasteful number, since it uses less digits than its factorization.

1452372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 1452372100 is about 1132.4680698634.

Multiplying 1452372100 by its sum of digits (25), we get a square (36309302500 = 190550²).

1452372100 divided by its sum of digits (25) gives a square (58094884 = 7622²).

The spelling of 1452372100 in words is "one billion, four hundred fifty-two million, three hundred seventy-two thousand, one hundred".