407383488 has 84 divisors (see below), whose sum is σ = 1177096960. Its totient is φ = 134701056.

The previous prime is 407383481. The next prime is 407383489. The reversal of 407383488 is 884383704.

It is a happy number.

It is a super-2 number, since 2×407383488² = 331922612590092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407383481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70368 + ... + 75936.

Almost surely, 2^407383488 is an apocalyptic number.

407383488 is a gapful number since it is divisible by the number (48) 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 407383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588548480).

407383488 is an abundant number, since it is smaller than the sum of its proper divisors (769713472).

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

407383488 is a wasteful number, since it uses less digits than its factorization.

407383488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 407383488 is about 20183.7431612672. The cubic root of 407383488 is about 741.3121884945.

The spelling of 407383488 in words is "four hundred seven million, three hundred eighty-three thousand, four hundred eighty-eight".