45787950 has 96 divisors (see below), whose sum is σ = 135928800. Its totient is φ = 11266560.

The previous prime is 45787927. The next prime is 45787969. The reversal of 45787950 is 5978754.

45787950 is a `hidden beast` number, since 4 + 578 + 79 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45787896 and 45787905.

It is a congruent number.

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, 16246 + ... + 18854.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925).

Almost surely, 2^45787950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45787950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964400).

45787950 is an abundant number, since it is smaller than the sum of its proper divisors (90140850).

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

45787950 is a wasteful number, since it uses less digits than its factorization.

45787950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 45787950 is about 6766.6793924347. The cubic root of 45787950 is about 357.7533698684.

The spelling of 45787950 in words is "forty-five million, seven hundred eighty-seven thousand, nine hundred fifty".