1974024900 has 81 divisors (see below), whose sum is σ = 6191652103. Its totient is φ = 526051200.

The previous prime is 1974024869. The next prime is 1974024959. The reversal of 1974024900 is 94204791.

The square root of 1974024900 is 44430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 89075844 + 1884949056 = 9438^2 + 43416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1332160 + ... + 1333640.

Almost surely, 2^1974024900 is an apocalyptic number.

1974024900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1974024900 is the 44430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974024900

1974024900 is an abundant number, since it is smaller than the sum of its proper divisors (4217627203).

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

1974024900 is a wasteful number, since it uses less digits than its factorization.

1974024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 1974024900 is about 1254.4428355943.

Multiplying 1974024900 by its sum of digits (36), we get a square (71064896400 = 266580²).

1974024900 divided by its sum of digits (36) gives a square (54834025 = 7405²).

The spelling of 1974024900 in words is "one billion, nine hundred seventy-four million, twenty-four thousand, nine hundred".