469552276960 has 288 divisors, whose sum is σ = 1263878707392. Its totient is φ = 164558684160.

The previous prime is 469552276957. The next prime is 469552276961. The reversal of 469552276960 is 69672255964.

It is a super-4 number, since 4×469552276960⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469552276961) 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, 41013957 + ... + 41025403.

It is an arithmetic number, because the mean of its divisors is an integer number (4388467734).

Almost surely, 2^469552276960 is an apocalyptic number.

469552276960 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 469552276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631939353696).

469552276960 is an abundant number, since it is smaller than the sum of its proper divisors (794326430432).

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

469552276960 is a wasteful number, since it uses less digits than its factorization.

469552276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 469552276960 in words is "four hundred sixty-nine billion, five hundred fifty-two million, two hundred seventy-six thousand, nine hundred sixty".