407278080 has 240 divisors, whose sum is σ = 1539705024. Its totient is φ = 98672640.

The previous prime is 407278073. The next prime is 407278099. The reversal of 407278080 is 80872704.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252637 + ... + 254243.

Almost surely, 2^407278080 is an apocalyptic number.

407278080 is a gapful number since it is divisible by the number (40) 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 407278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769852512).

407278080 is an abundant number, since it is smaller than the sum of its proper divisors (1132426944).

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

407278080 is a wasteful number, since it uses less digits than its factorization.

407278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 407278080 is about 20181.1317819393. The cubic root of 407278080 is about 741.2482463059.

The spelling of 407278080 in words is "four hundred seven million, two hundred seventy-eight thousand, eighty".