414048459477 has 32 divisors (see below), whose sum is σ = 593594910720. Its totient is φ = 255892936320.

The previous prime is 414048459457. The next prime is 414048459491. The reversal of 414048459477 is 774954840414.

It is not a de Polignac number, because 414048459477 - 2¹⁴ = 414048443093 is a prime.

It is a super-2 number, since 2×414048459477² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414048459437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19307553 + ... + 19328985.

It is an arithmetic number, because the mean of its divisors is an integer number (18549840960).

Almost surely, 2^414048459477 is an apocalyptic number.

414048459477 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

414048459477 is a deficient number, since it is larger than the sum of its proper divisors (179546451243).

414048459477 is a wasteful number, since it uses less digits than its factorization.

414048459477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28713.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 414048459477 in words is "four hundred fourteen billion, forty-eight million, four hundred fifty-nine thousand, four hundred seventy-seven".