405274472504 has 128 divisors (see below), whose sum is σ = 851005440000. Its totient is φ = 179385648000.

The previous prime is 405274472503. The next prime is 405274472527.

405274472504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405274472503) 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, 469610777 + ... + 469611639.

It is an arithmetic number, because the mean of its divisors is an integer number (6648480000).

Almost surely, 2^405274472504 is an apocalyptic number.

405274472504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405274472504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425502720000).

405274472504 is an abundant number, since it is smaller than the sum of its proper divisors (445730967496).

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

405274472504 is a wasteful number, since it uses less digits than its factorization.

405274472504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 44.

It can be divided in two parts, 405274 and 472504, that added together give a palindrome (877778).

The spelling of 405274472504 in words is "four hundred five billion, two hundred seventy-four million, four hundred seventy-two thousand, five hundred four".