1972400 has 30 divisors (see below), whose sum is σ = 4739652. Its totient is φ = 788800.

The previous prime is 1972381. The next prime is 1972417. The reversal of 1972400 is 42791.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2066 + ... + 2865.

2^1972400 is an apocalyptic number.

1972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972400 is an abundant number, since it is smaller than the sum of its proper divisors (2767252).

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

1972400 is a wasteful number, since it uses less digits than its factorization.

1972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1972400 is about 1404.4215891249. The cubic root of 1972400 is about 125.4098546843.

The spelling of 1972400 in words is "one million, nine hundred seventy-two thousand, four hundred".