407564928 has 96 divisors (see below), whose sum is σ = 1201554900. Its totient is φ = 132526080.

The previous prime is 407564893. The next prime is 407564951. The reversal of 407564928 is 829465704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 399680064 + 7884864 = 19992^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×407564928² = 332218341071290368, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 42918 + ... + 51546.

Almost surely, 2^407564928 is an apocalyptic number.

407564928 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 407564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600777450).

407564928 is an abundant number, since it is smaller than the sum of its proper divisors (793989972).

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

407564928 is a wasteful number, since it uses less digits than its factorization.

407564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 407564928 is about 20188.2373673384. The cubic root of 407564928 is about 741.4222270896.

The spelling of 407564928 in words is "four hundred seven million, five hundred sixty-four thousand, nine hundred twenty-eight".