469748160 has 336 divisors, whose sum is σ = 1917167616. Its totient is φ = 107246592.

The previous prime is 469748117. The next prime is 469748161. The reversal of 469748160 is 61847964.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469748161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543889 + ... + 544751.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^469748160 is an apocalyptic number.

469748160 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 469748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958583808).

469748160 is an abundant number, since it is smaller than the sum of its proper divisors (1447419456).

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

469748160 is an equidigital number, since it uses as much as digits as its factorization.

469748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 469748160 is about 21673.6743539253. The cubic root of 469748160 is about 777.3591160591.

The spelling of 469748160 in words is "four hundred sixty-nine million, seven hundred forty-eight thousand, one hundred sixty".