408072630 has 128 divisors (see below), whose sum is σ = 1189831680. Its totient is φ = 87575040.

The previous prime is 408072629. The next prime is 408072649. The reversal of 408072630 is 36270804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224425 + ... + 226235.

It is an arithmetic number, because the mean of its divisors is an integer number (9295560).

Almost surely, 2^408072630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408072630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594915840).

408072630 is an abundant number, since it is smaller than the sum of its proper divisors (781759050).

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

408072630 is a wasteful number, since it uses less digits than its factorization.

408072630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 408072630 is about 20200.8076571210. The cubic root of 408072630 is about 741.7299615776.

The spelling of 408072630 in words is "four hundred eight million, seventy-two thousand, six hundred thirty".