405204930 has 192 divisors, whose sum is σ = 1197600768. Its totient is φ = 97977600.

The previous prime is 405204923. The next prime is 405204949. The reversal of 405204930 is 39402504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 405204894 and 405204903.

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, 3190527 + ... + 3190653.

It is an arithmetic number, because the mean of its divisors is an integer number (6237504).

Almost surely, 2^405204930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405204930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

405204930 is an abundant number, since it is smaller than the sum of its proper divisors (792395838).

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

405204930 is a wasteful number, since it uses less digits than its factorization.

405204930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 405204930 is about 20129.7026803676. The cubic root of 405204930 is about 739.9883915880.

The spelling of 405204930 in words is "four hundred five million, two hundred four thousand, nine hundred thirty".