416984827392 has 800 divisors, whose sum is σ = 1496138383872. Its totient is φ = 113515167744.

The previous prime is 416984827307. The next prime is 416984827393. The reversal of 416984827392 is 293728489614.

416984827392 is a `hidden beast` number, since 4 + 1 + 69 + 8 + 482 + 7 + 3 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416984827393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1622508928 + ... + 1622509184.

Almost surely, 2^416984827392 is an apocalyptic number.

416984827392 is a gapful number since it is divisible by the number (42) 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 416984827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748069191936).

416984827392 is an abundant number, since it is smaller than the sum of its proper divisors (1079153556480).

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

416984827392 is an frugal number, since it uses more digits than its factorization.

416984827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 292 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 416984827392 in words is "four hundred sixteen billion, nine hundred eighty-four million, eight hundred twenty-seven thousand, three hundred ninety-two".