469258583040 has 1232 divisors, whose sum is σ = 1916979472800. Its totient is φ = 109215350784.

The previous prime is 469258583033. The next prime is 469258583063. The reversal of 469258583040 is 40385852964.

469258583040 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 58 + 583 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 921922306 + ... + 921922814.

Almost surely, 2^469258583040 is an apocalyptic number.

469258583040 is a gapful number since it is divisible by the number (40) 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 469258583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958489736400).

469258583040 is an abundant number, since it is smaller than the sum of its proper divisors (1447720889760).

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

469258583040 is a wasteful number, since it uses less digits than its factorization.

469258583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 469258583040 in words is "four hundred sixty-nine billion, two hundred fifty-eight million, five hundred eighty-three thousand, forty".