45978642 has 96 divisors (see below), whose sum is σ = 112679424. Its totient is φ = 13478400.

The previous prime is 45978637. The next prime is 45978661. The reversal of 45978642 is 24687954.

It is a happy number.

It is a super-3 number, since 3×45978642³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (483840) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350917 + ... + 351047.

It is an arithmetic number, because the mean of its divisors is an integer number (1173744).

Almost surely, 2^45978642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45978642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56339712).

45978642 is an abundant number, since it is smaller than the sum of its proper divisors (66700782).

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

45978642 is a wasteful number, since it uses less digits than its factorization.

45978642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45978642 is about 6780.7552676675. The cubic root of 45978642 is about 358.2493243600.

The spelling of 45978642 in words is "forty-five million, nine hundred seventy-eight thousand, six hundred forty-two".