469928954880 has 1056 divisors, whose sum is σ = 2100540349440. Its totient is φ = 94259773440.

The previous prime is 469928954879. The next prime is 469928954927. The reversal of 469928954880 is 88459829964.

469928954880 is a `hidden beast` number, since 4 + 69 + 9 + 2 + 89 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 469928954799 and 469928954808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102894357 + ... + 102898923.

Almost surely, 2^469928954880 is an apocalyptic number.

469928954880 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 469928954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050270174720).

469928954880 is an abundant number, since it is smaller than the sum of its proper divisors (1630611394560).

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

469928954880 is a wasteful number, since it uses less digits than its factorization.

469928954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 469928954880 in words is "four hundred sixty-nine billion, nine hundred twenty-eight million, nine hundred fifty-four thousand, eight hundred eighty".