469401600 has 192 divisors, whose sum is σ = 1560257280. Its totient is φ = 124518400.

The previous prime is 469401589. The next prime is 469401601. The reversal of 469401600 is 6104964.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457505 + ... + 2457695.

It is an arithmetic number, because the mean of its divisors is an integer number (8126340).

Almost surely, 2^469401600 is an apocalyptic number.

469401600 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 469401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780128640).

469401600 is an abundant number, since it is smaller than the sum of its proper divisors (1090855680).

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

469401600 is an equidigital number, since it uses as much as digits as its factorization.

469401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 469401600 is about 21665.6779261578. The cubic root of 469401600 is about 777.1679016480.

The spelling of 469401600 in words is "four hundred sixty-nine million, four hundred one thousand, six hundred".