419930576472 has 384 divisors, whose sum is σ = 1310548377600. Its totient is φ = 111308820480.

The previous prime is 419930576449. The next prime is 419930576477. The reversal of 419930576472 is 274675039914.

It is a happy number.

It is a super-2 number, since 2×419930576472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419930576477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49709353 + ... + 49717799.

It is an arithmetic number, because the mean of its divisors is an integer number (3412886400).

Almost surely, 2^419930576472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419930576472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655274188800).

419930576472 is an abundant number, since it is smaller than the sum of its proper divisors (890617801128).

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

419930576472 is a wasteful number, since it uses less digits than its factorization.

419930576472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 419930576472 in words is "four hundred nineteen billion, nine hundred thirty million, five hundred seventy-six thousand, four hundred seventy-two".