469409955840 has 1280 divisors, whose sum is σ = 1997531965440. Its totient is φ = 103195607040.

The previous prime is 469409955803. The next prime is 469409955877. The reversal of 469409955840 is 48559904964.

469409955840 is a `hidden beast` number, since 4 + 6 + 9 + 40 + 9 + 9 + 5 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (469409955803) and next prime (469409955877).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2879815599 + ... + 2879815761.

It is an arithmetic number, because the mean of its divisors is an integer number (1560571848).

Almost surely, 2^469409955840 is an apocalyptic number.

469409955840 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 469409955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998765982720).

469409955840 is an abundant number, since it is smaller than the sum of its proper divisors (1528122009600).

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

469409955840 is an equidigital number, since it uses as much as digits as its factorization.

469409955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 469409955840 in words is "four hundred sixty-nine billion, four hundred nine million, nine hundred fifty-five thousand, eight hundred forty".