305490133416 has 128 divisors (see below), whose sum is σ = 877121481600. Its totient is φ = 87831060480.

The previous prime is 305490133409. The next prime is 305490133427. The reversal of 305490133416 is 614331094503.

It is a happy number.

It is a super-2 number, since 2×305490133416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 530076 + ... + 944436.

It is an arithmetic number, because the mean of its divisors is an integer number (6852511575).

Almost surely, 2^305490133416 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 305490133416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438560740800).

305490133416 is an abundant number, since it is smaller than the sum of its proper divisors (571631348184).

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

305490133416 is a wasteful number, since it uses less digits than its factorization.

305490133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414539 (or 414535 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 305490133416 in words is "three hundred five billion, four hundred ninety million, one hundred thirty-three thousand, four hundred sixteen".