416077152 has 96 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 132518400.

The previous prime is 416077147. The next prime is 416077163. The reversal of 416077152 is 251770614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×416077152² = 346240392832862208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 286027 + ... + 287477.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^416077152 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 416077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

416077152 is an abundant number, since it is smaller than the sum of its proper divisors (725543328).

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

416077152 is a wasteful number, since it uses less digits than its factorization.

416077152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 416077152 is about 20397.9693106937. The cubic root of 416077152 is about 746.5483776615.

The spelling of 416077152 in words is "four hundred sixteen million, seventy-seven thousand, one hundred fifty-two".