407628 has 54 divisors (see below), whose sum is σ = 1132404. Its totient is φ = 123552.

The previous prime is 407621. The next prime is 407633. The reversal of 407628 is 826704.

It is not an unprimeable number, because it can be changed into a prime (407621) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6051 + ... + 6117.

2⁴⁰⁷⁶²⁸ 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 407628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566202).

407628 is an abundant number, since it is smaller than the sum of its proper divisors (724776).

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

407628 is a wasteful number, since it uses less digits than its factorization.

407628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407628 is about 638.4575162061. The cubic root of 407628 is about 74.1460470952.

It can be divided in two parts, 407 and 628, that added together give a triangular number (1035 = T₄₅).

The spelling of 407628 in words is "four hundred seven thousand, six hundred twenty-eight".