977406432 has 96 divisors (see below), whose sum is σ = 2723831712. Its totient is φ = 305823744.

The previous prime is 977406329. The next prime is 977406433. The reversal of 977406432 is 234604779.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977406433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999928 + ... + 1000904.

It is an arithmetic number, because the mean of its divisors is an integer number (28373247).

Almost surely, 2^977406432 is an apocalyptic number.

It is a pronic number, being equal to 31263×31264.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361915856).

977406432 is an abundant number, since it is smaller than the sum of its proper divisors (1746425280).

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

977406432 is a wasteful number, since it uses less digits than its factorization.

977406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 977406432 is about 31263.4999960017. The cubic root of 977406432 is about 992.4113690161.

The spelling of 977406432 in words is "nine hundred seventy-seven million, four hundred six thousand, four hundred thirty-two".