414496992 has 192 divisors, whose sum is σ = 1418425344. Its totient is φ = 102850560.

The previous prime is 414496967. The next prime is 414496997. The reversal of 414496992 is 299694414.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414496997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147117 + ... + 149907.

It is an arithmetic number, because the mean of its divisors is an integer number (7387632).

Almost surely, 2^414496992 is an apocalyptic number.

414496992 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 414496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709212672).

414496992 is an abundant number, since it is smaller than the sum of its proper divisors (1003928352).

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

414496992 is a wasteful number, since it uses less digits than its factorization.

414496992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2833 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 414496992 is about 20359.1991983968. The cubic root of 414496992 is about 745.6021089234.

The spelling of 414496992 in words is "four hundred fourteen million, four hundred ninety-six thousand, nine hundred ninety-two".