407144628 has 144 divisors (see below), whose sum is σ = 1198701504. Its totient is φ = 115153920.

The previous prime is 407144627. The next prime is 407144653. The reversal of 407144628 is 826441704.

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

It is a junction number, because it is equal to n+sod(n) for n = 407144592 and 407144601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407144623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326051 + ... + 1326357.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2^407144628 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 407144628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599350752).

407144628 is an abundant number, since it is smaller than the sum of its proper divisors (791556876).

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

407144628 is a wasteful number, since it uses less digits than its factorization.

407144628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 407144628 is about 20177.8251553531. The cubic root of 407144628 is about 741.1672763476.

The spelling of 407144628 in words is "four hundred seven million, one hundred forty-four thousand, six hundred twenty-eight".