407561028 has 72 divisors (see below), whose sum is σ = 1116561600. Its totient is φ = 115359552.

The previous prime is 407561023. The next prime is 407561029. The reversal of 407561028 is 820165704.

It is a super-2 number, since 2×407561028² = 332211983088833568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407561028.

It is not an unprimeable number, because it can be changed into a prime (407561023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60913 + ... + 67271.

It is an arithmetic number, because the mean of its divisors is an integer number (15507800).

Almost surely, 2^407561028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407561028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558280800).

407561028 is an abundant number, since it is smaller than the sum of its proper divisors (709000572).

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

407561028 is a wasteful number, since it uses less digits than its factorization.

407561028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6489 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 407561028 is about 20188.1407762082. The cubic root of 407561028 is about 741.4198621855.

The spelling of 407561028 in words is "four hundred seven million, five hundred sixty-one thousand, twenty-eight".