407056848 has 120 divisors (see below), whose sum is σ = 1175445600. Its totient is φ = 120380160.

The previous prime is 407056831. The next prime is 407056861. The reversal of 407056848 is 848650704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166178 + ... + 1166526.

It is an arithmetic number, because the mean of its divisors is an integer number (9795380).

Almost surely, 2^407056848 is an apocalyptic number.

407056848 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 407056848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587722800).

407056848 is an abundant number, since it is smaller than the sum of its proper divisors (768388752).

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

407056848 is a wasteful number, since it uses less digits than its factorization.

407056848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 412 counting only the distinct ones).

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

The square root of 407056848 is about 20175.6498780089. The cubic root of 407056848 is about 741.1140075293.

The spelling of 407056848 in words is "four hundred seven million, fifty-six thousand, eight hundred forty-eight".