384977040 has 80 divisors (see below), whose sum is σ = 1363924608. Its totient is φ = 87994368.

The previous prime is 384977029. The next prime is 384977051. The reversal of 384977040 is 40779483.

It is an interprime number because it is at equal distance from previous prime (384977029) and next prime (384977051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 384976983 and 384977001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112897 + ... + 116256.

Almost surely, 2^384977040 is an apocalyptic number.

384977040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384977040 is an abundant number, since it is smaller than the sum of its proper divisors (978947568).

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

384977040 is a wasteful number, since it uses less digits than its factorization.

384977040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229176 (or 229170 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 384977040 is about 19620.8317866496. The cubic root of 384977040 is about 727.4641731982.

The spelling of 384977040 in words is "three hundred eighty-four million, nine hundred seventy-seven thousand, forty".