470342403440 has 240 divisors, whose sum is σ = 1371385663200. Its totient is φ = 148698224640.

The previous prime is 470342403431. The next prime is 470342403469. The reversal of 470342403440 is 44304243074.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 470342403440.

It is a congruent number.

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, 54064211 + ... + 54072909.

It is an arithmetic number, because the mean of its divisors is an integer number (5714106930).

Almost surely, 2^470342403440 is an apocalyptic number.

470342403440 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 470342403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685692831600).

470342403440 is an abundant number, since it is smaller than the sum of its proper divisors (901043259760).

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

470342403440 is a wasteful number, since it uses less digits than its factorization.

470342403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 35.

The spelling of 470342403440 in words is "four hundred seventy billion, three hundred forty-two million, four hundred three thousand, four hundred forty".