409977963 has 8 divisors (see below), whose sum is σ = 607374800. Its totient is φ = 273318624.

The previous prime is 409977943. The next prime is 409977973. The reversal of 409977963 is 369779904.

It is not a de Polignac number, because 409977963 - 2²⁰ = 408929387 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409977913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7592158 + ... + 7592211.

It is an arithmetic number, because the mean of its divisors is an integer number (75921850).

Almost surely, 2^409977963 is an apocalyptic number.

409977963 is a deficient number, since it is larger than the sum of its proper divisors (197396837).

409977963 is a wasteful number, since it uses less digits than its factorization.

409977963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15184378 (or 15184372 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 409977963 is about 20247.9125590763. The cubic root of 409977963 is about 742.8825739903.

The spelling of 409977963 in words is "four hundred nine million, nine hundred seventy-seven thousand, nine hundred sixty-three".