469315200 has 384 divisors, whose sum is σ = 1699891200. Its totient is φ = 113356800.

The previous prime is 469315193. The next prime is 469315211. The reversal of 469315200 is 2513964.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5654359 + ... + 5654441.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^469315200 is an apocalyptic number.

469315200 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 469315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

469315200 is an abundant number, since it is smaller than the sum of its proper divisors (1230576000).

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

469315200 is a wasteful number, since it uses less digits than its factorization.

469315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 469315200 is about 21663.6838972507. The cubic root of 469315200 is about 777.1202158093.

The spelling of 469315200 in words is "four hundred sixty-nine million, three hundred fifteen thousand, two hundred".