1972294400 has 108 divisors (see below), whose sum is σ = 5039719104. Its totient is φ = 763392000.

The previous prime is 1972294399. The next prime is 1972294403. The reversal of 1972294400 is 44922791.

It is not an unprimeable number, because it can be changed into a prime (1972294403) 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, 193430 + ... + 203370.

Almost surely, 2^1972294400 is an apocalyptic number.

1972294400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519859552).

1972294400 is an abundant number, since it is smaller than the sum of its proper divisors (3067424704).

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

1972294400 is an equidigital number, since it uses as much as digits as its factorization.

1972294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 1972294400 is about 44410.5212759319. The cubic root of 1972294400 is about 1254.0761654520.

The spelling of 1972294400 in words is "one billion, nine hundred seventy-two million, two hundred ninety-four thousand, four hundred".