405813825 has 36 divisors (see below), whose sum is σ = 727953408. Its totient is φ = 216108000.

The previous prime is 405813787. The next prime is 405813869. The reversal of 405813825 is 528318504.

It is a happy number.

405813825 is a `hidden beast` number, since 40 + 581 + 38 + 2 + 5 = 666.

It is not a de Polignac number, because 405813825 - 2⁹ = 405813313 is a prime.

It is a super-2 number, since 2×405813825² = 329369721122261250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405813825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258192 + ... + 259758.

It is an arithmetic number, because the mean of its divisors is an integer number (20220928).

Almost surely, 2^405813825 is an apocalyptic number.

405813825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405813825 is a deficient number, since it is larger than the sum of its proper divisors (322139583).

405813825 is a wasteful number, since it uses less digits than its factorization.

405813825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 405813825 is about 20144.8212948142. The cubic root of 405813825 is about 740.3588623432.

The spelling of 405813825 in words is "four hundred five million, eight hundred thirteen thousand, eight hundred twenty-five".