977480406 has 64 divisors (see below), whose sum is σ = 2562600960. Its totient is φ = 270267840.

The previous prime is 977480401. The next prime is 977480411. The reversal of 977480406 is 604084779.

977480406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (977480401) and next prime (977480411).

It is a super-2 number, since 2×977480406² = 1910935888227849672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977480401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29991 + ... + 53426.

It is an arithmetic number, because the mean of its divisors is an integer number (40040640).

Almost surely, 2^977480406 is an apocalyptic number.

977480406 is an abundant number, since it is smaller than the sum of its proper divisors (1585120554).

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

977480406 is a wasteful number, since it uses less digits than its factorization.

977480406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83466 (or 83460 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 977480406 is about 31264.6830465303. The cubic root of 977480406 is about 992.4364049289.

The spelling of 977480406 in words is "nine hundred seventy-seven million, four hundred eighty thousand, four hundred six".