405274625 has 64 divisors (see below), whose sum is σ = 608305152. Its totient is φ = 263736000.

The previous prime is 405274609. The next prime is 405274631. The reversal of 405274625 is 526472504.

It is not a de Polignac number, because 405274625 - 2⁴ = 405274609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 405274625 = 380³ + 705³ = 425³ + 690³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1817264 + ... + 1817486.

It is an arithmetic number, because the mean of its divisors is an integer number (9504768).

It is a Proth number, since it is equal to 773 ⋅ 2¹⁹ + 1 and 773 < 2¹⁹.

Almost surely, 2^405274625 is an apocalyptic number.

It is an amenable number.

405274625 is a deficient number, since it is larger than the sum of its proper divisors (203030527).

405274625 is a wasteful number, since it uses less digits than its factorization.

405274625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 405274625 is about 20131.4337542064. The cubic root of 405274625 is about 740.0308150060.

The spelling of 405274625 in words is "four hundred five million, two hundred seventy-four thousand, six hundred twenty-five".