407796480 has 432 divisors, whose sum is σ = 1740997440. Its totient is φ = 85819392.

The previous prime is 407796479. The next prime is 407796503. The reversal of 407796480 is 84697704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048126 + ... + 1048514.

Almost surely, 2^407796480 is an apocalyptic number.

407796480 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 407796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870498720).

407796480 is an abundant number, since it is smaller than the sum of its proper divisors (1333200960).

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

407796480 is a wasteful number, since it uses less digits than its factorization.

407796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 407796480 is about 20193.9713776166. The cubic root of 407796480 is about 741.5626098736.

The spelling of 407796480 in words is "four hundred seven million, seven hundred ninety-six thousand, four hundred eighty".