469401840 has 120 divisors (see below), whose sum is σ = 1659425040. Its totient is φ = 118582272.

The previous prime is 469401839. The next prime is 469401847. The reversal of 469401840 is 48104964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 469401795 and 469401804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469401847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3477 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (13828542).

Almost surely, 2^469401840 is an apocalyptic number.

469401840 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 469401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829712520).

469401840 is an abundant number, since it is smaller than the sum of its proper divisors (1190023200).

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

469401840 is a wasteful number, since it uses less digits than its factorization.

469401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34351 (or 34342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 469401840 is about 21665.6834648714. The cubic root of 469401840 is about 777.1680341005.

The spelling of 469401840 in words is "four hundred sixty-nine million, four hundred one thousand, eight hundred forty".