405630540 has 288 divisors, whose sum is σ = 1542602880. Its totient is φ = 84123648.

The previous prime is 405630517. The next prime is 405630551. The reversal of 405630540 is 45036504.

405630540 is a `hidden beast` number, since 40 + 56 + 30 + 540 = 666.

It is a super-2 number, since 2×405630540² = 329072269961383200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620854 + ... + 621506.

It is an arithmetic number, because the mean of its divisors is an integer number (5356260).

Almost surely, 2^405630540 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 405630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771301440).

405630540 is an abundant number, since it is smaller than the sum of its proper divisors (1136972340).

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

405630540 is a wasteful number, since it uses less digits than its factorization.

405630540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405630540 is about 20140.2715969770. The cubic root of 405630540 is about 740.2473850270.

It can be divided in two parts, 4056 and 30540, that added together give a square (34596 = 186²).

The spelling of 405630540 in words is "four hundred five million, six hundred thirty thousand, five hundred forty".