470553783025920 has 576 divisors, whose sum is σ = 1673965778494464. Its totient is φ = 111681403125760.

The previous prime is 470553783025901. The next prime is 470553783025927. The reversal of 470553783025920 is 29520387355074.

It is a super-2 number, since 2×470553783025920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (470553783025927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045257199 + ... + 1045707281.

It is an arithmetic number, because the mean of its divisors is an integer number (2906190587664).

Almost surely, 2^{470553783025920} is an apocalyptic number.

470553783025920 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 470553783025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836982889247232).

470553783025920 is an abundant number, since it is smaller than the sum of its proper divisors (1203411995468544).

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

470553783025920 is a wasteful number, since it uses less digits than its factorization.

470553783025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450638 (or 450624 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 470553783025920 in words is "four hundred seventy trillion, five hundred fifty-three billion, seven hundred eighty-three million, twenty-five thousand, nine hundred twenty".