973987400464 has 45 divisors (see below), whose sum is σ = 2043536121333. Its totient is φ = 449508960576.

The previous prime is 973987400443. The next prime is 973987400467. The reversal of 973987400464 is 464004789379.

The square root of 973987400464 is 986908.

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

It can be written as a sum of positive squares in only one way, i.e., 144080976400 + 829906424064 = 379580^2 + 910992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973987400467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51309727 + ... + 51328705.

Almost surely, 2^973987400464 is an apocalyptic number.

973987400464 is the 986908-th square number.

It is an amenable number.

973987400464 is an abundant number, since it is smaller than the sum of its proper divisors (1069548720869).

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

973987400464 is an frugal number, since it uses more digits than its factorization.

973987400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37992 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 973987400464 in words is "nine hundred seventy-three billion, nine hundred eighty-seven million, four hundred thousand, four hundred sixty-four".