469872000 has 384 divisors, whose sum is σ = 1824469920. Its totient is φ = 115200000.

The previous prime is 469871999. The next prime is 469872001. The reversal of 469872000 is 278964.

469872000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (469871999) and next prime (469872001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469872001) 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, 1871875 + ... + 1872125.

Almost surely, 2^469872000 is an apocalyptic number.

469872000 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 469872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912234960).

469872000 is an abundant number, since it is smaller than the sum of its proper divisors (1354597920).

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

469872000 is a wasteful number, since it uses less digits than its factorization.

469872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 469872000 is about 21676.5310877917. The cubic root of 469872000 is about 777.4274219463.

The spelling of 469872000 in words is "four hundred sixty-nine million, eight hundred seventy-two thousand".