419297472 has 392 divisors, whose sum is σ = 1465844160. Its totient is φ = 117573120.

The previous prime is 419297471. The next prime is 419297497. The reversal of 419297472 is 274792914.

It is a happy number.

419297472 is a `hidden beast` number, since 4 + 1 + 92 + 97 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (419297471) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9751083 + ... + 9751125.

Almost surely, 2^419297472 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 419297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732922080).

419297472 is an abundant number, since it is smaller than the sum of its proper divisors (1046546688).

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

419297472 is a wasteful number, since it uses less digits than its factorization.

419297472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 419297472 is about 20476.7544303290. The cubic root of 419297472 is about 748.4694546995.

The spelling of 419297472 in words is "four hundred nineteen million, two hundred ninety-seven thousand, four hundred seventy-two".