470337251040 has 288 divisors, whose sum is σ = 1788885090720. Its totient is φ = 111832399872.

The previous prime is 470337251017. The next prime is 470337251053. The reversal of 470337251040 is 40152733074.

470337251040 is a `hidden beast` number, since 4 + 7 + 0 + 33 + 72 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 470337250986 and 470337251004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40489 + ... + 970728.

It is an arithmetic number, because the mean of its divisors is an integer number (6211406565).

Almost surely, 2^470337251040 is an apocalyptic number.

470337251040 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 470337251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894442545360).

470337251040 is an abundant number, since it is smaller than the sum of its proper divisors (1318547839680).

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

470337251040 is a wasteful number, since it uses less digits than its factorization.

470337251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011274 (or 1011263 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 470337251040 in words is "four hundred seventy billion, three hundred thirty-seven million, two hundred fifty-one thousand, forty".