407546880 has 264 divisors, whose sum is σ = 1420486992. Its totient is φ = 99680256.

The previous prime is 407546869. The next prime is 407546891. The reversal of 407546880 is 88645704.

It is an interprime number because it is at equal distance from previous prime (407546869) and next prime (407546891).

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, 2595762 + ... + 2595918.

Almost surely, 2^407546880 is an apocalyptic number.

407546880 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 407546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710243496).

407546880 is an abundant number, since it is smaller than the sum of its proper divisors (1012940112).

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

407546880 is a wasteful number, since it uses less digits than its factorization.

407546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 407546880 is about 20187.7903694287. The cubic root of 407546880 is about 741.4112829145.

The spelling of 407546880 in words is "four hundred seven million, five hundred forty-six thousand, eight hundred eighty".