416264142 has 64 divisors (see below), whose sum is σ = 1013368320. Its totient is φ = 111277056.

The previous prime is 416264119. The next prime is 416264153. The reversal of 416264142 is 241462614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126178 + ... + 129434.

It is an arithmetic number, because the mean of its divisors is an integer number (15833880).

Almost surely, 2^416264142 is an apocalyptic number.

416264142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 416264142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506684160).

416264142 is an abundant number, since it is smaller than the sum of its proper divisors (597104178).

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

416264142 is a wasteful number, since it uses less digits than its factorization.

416264142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465.

The product of its digits is 9216, while the sum is 30.

The square root of 416264142 is about 20402.5523403323. The cubic root of 416264142 is about 746.6601968065.

The spelling of 416264142 in words is "four hundred sixteen million, two hundred sixty-four thousand, one hundred forty-two".