407800380 has 144 divisors (see below), whose sum is σ = 1249928064. Its totient is φ = 99290880.

The previous prime is 407800361. The next prime is 407800397. The reversal of 407800380 is 83008704.

It is a super-2 number, since 2×407800380² = 332602299856288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328187 + ... + 1328493.

It is an arithmetic number, because the mean of its divisors is an integer number (8680056).

Almost surely, 2^407800380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407800380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624964032).

407800380 is an abundant number, since it is smaller than the sum of its proper divisors (842127684).

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

407800380 is a wasteful number, since it uses less digits than its factorization.

407800380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 407800380 is about 20194.0679408583. The cubic root of 407800380 is about 741.5649738673.

The spelling of 407800380 in words is "four hundred seven million, eight hundred thousand, three hundred eighty".