469752640 has 112 divisors (see below), whose sum is σ = 1308396672. Its totient is φ = 157280256.

The previous prime is 469752593. The next prime is 469752671. The reversal of 469752640 is 46257964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a zygodrome in base 8.

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 15 ways as a sum of consecutive naturals, for example, 93882 + ... + 98758.

Almost surely, 2^469752640 is an apocalyptic number.

469752640 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 469752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654198336).

469752640 is an abundant number, since it is smaller than the sum of its proper divisors (838644032).

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

469752640 is a wasteful number, since it uses less digits than its factorization.

469752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 469752640 is about 21673.7777048672. Note that the first 4 decimals coincide. The cubic root of 469752640 is about 777.3615872824.

The spelling of 469752640 in words is "four hundred sixty-nine million, seven hundred fifty-two thousand, six hundred forty".