469093680 has 200 divisors, whose sum is σ = 1777613904. Its totient is φ = 113702400.

The previous prime is 469093637. The next prime is 469093697. The reversal of 469093680 is 86390964.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67990 + ... + 74570.

Almost surely, 2^469093680 is an apocalyptic number.

469093680 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 469093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888806952).

469093680 is an abundant number, since it is smaller than the sum of its proper divisors (1308520224).

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

469093680 is a wasteful number, since it uses less digits than its factorization.

469093680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 469093680 is about 21658.5705899535. The cubic root of 469093680 is about 776.9979278727.

The spelling of 469093680 in words is "four hundred sixty-nine million, ninety-three thousand, six hundred eighty".