45402768 has 100 divisors (see below), whose sum is σ = 134090748. Its totient is φ = 14826240.

The previous prime is 45402701. The next prime is 45402779. The reversal of 45402768 is 86720454.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 10969344 = 5868^2 + 3312^2 .

It is a super-2 number, since 2×45402768² = 4122822684123648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68358 + ... + 69018.

Almost surely, 2^45402768 is an apocalyptic number.

45402768 is a gapful number since it is divisible by the number (48) 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 45402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67045374).

45402768 is an abundant number, since it is smaller than the sum of its proper divisors (88687980).

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

45402768 is a wasteful number, since it uses less digits than its factorization.

45402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45402768 is about 6738.1576116918. The cubic root of 45402768 is about 356.7473673428.

The spelling of 45402768 in words is "forty-five million, four hundred two thousand, seven hundred sixty-eight".