393463980 has 480 divisors, whose sum is σ = 1618759296. Its totient is φ = 77635584.

The previous prime is 393463937. The next prime is 393463991. The reversal of 393463980 is 89364393.

393463980 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 639 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2506062 + ... + 2506218.

Almost surely, 2^393463980 is an apocalyptic number.

393463980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393463980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809379648).

393463980 is an abundant number, since it is smaller than the sum of its proper divisors (1225295316).

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

393463980 is a wasteful number, since it uses less digits than its factorization.

393463980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 393463980 is about 19835.9264971415. The cubic root of 393463980 is about 732.7710901613.

The spelling of 393463980 in words is "three hundred ninety-three million, four hundred sixty-three thousand, nine hundred eighty".