1972575400 has 24 divisors (see below), whose sum is σ = 4586238270. Its totient is φ = 789030080.

The previous prime is 1972575391. The next prime is 1972575403. The reversal of 1972575400 is 45752791.

It can be written as a sum of positive squares in 3 ways, for example, as 1669049316 + 303526084 = 40854^2 + 17422^2 .

It is a super-3 number, since 3×1972575400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1972575403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4931239 + ... + 4931638.

Almost surely, 2^1972575400 is an apocalyptic number.

1972575400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972575400 is an abundant number, since it is smaller than the sum of its proper divisors (2613662870).

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

1972575400 is a wasteful number, since it uses less digits than its factorization.

1972575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862893 (or 9862884 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 1972575400 is about 44413.6848279897. The cubic root of 1972575400 is about 1254.1357202304.

The spelling of 1972575400 in words is "one billion, nine hundred seventy-two million, five hundred seventy-five thousand, four hundred".