40428630 has 96 divisors (see below), whose sum is σ = 116127648. Its totient is φ = 9676800.

The previous prime is 40428587. The next prime is 40428631. The reversal of 40428630 is 3682404.

40428630 is a `hidden beast` number, since 4 + 0 + 4 + 28 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40428594 and 40428603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428631) 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, 95820 + ... + 96240.

It is an arithmetic number, because the mean of its divisors is an integer number (1209663).

Almost surely, 2^40428630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40428630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58063824).

40428630 is an abundant number, since it is smaller than the sum of its proper divisors (75699018).

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

40428630 is a wasteful number, since it uses less digits than its factorization.

40428630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40428630 is about 6358.3512013729. The cubic root of 40428630 is about 343.2124300680.

The spelling of 40428630 in words is "forty million, four hundred twenty-eight thousand, six hundred thirty".