407628612 has 72 divisors (see below), whose sum is σ = 1073217600. Its totient is φ = 135284256.

The previous prime is 407628587. The next prime is 407628631. The reversal of 407628612 is 216826704.

It is a super-2 number, since 2×407628612² = 332322170642093088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 260689 + ... + 262247.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^407628612 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 407628612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536608800).

407628612 is an abundant number, since it is smaller than the sum of its proper divisors (665588988).

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

407628612 is a wasteful number, since it uses less digits than its factorization.

407628612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 407628612 is about 20189.8145608126. The cubic root of 407628612 is about 741.4608420201.

The spelling of 407628612 in words is "four hundred seven million, six hundred twenty-eight thousand, six hundred twelve".