405420477 has 32 divisors (see below), whose sum is σ = 674995200. Its totient is φ = 210280320.

The previous prime is 405420439. The next prime is 405420481. The reversal of 405420477 is 774024504.

It is not a de Polignac number, because 405420477 - 2⁶ = 405420413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405420497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237774 + ... + 239472.

It is an arithmetic number, because the mean of its divisors is an integer number (21093600).

Almost surely, 2^405420477 is an apocalyptic number.

It is an amenable number.

405420477 is a deficient number, since it is larger than the sum of its proper divisors (269574723).

405420477 is a wasteful number, since it uses less digits than its factorization.

405420477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753.

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 405420477 is about 20135.0559224453. The cubic root of 405420477 is about 740.1195795312.

It can be divided in two parts, 4054 and 20477, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 405420477 in words is "four hundred five million, four hundred twenty thousand, four hundred seventy-seven".