45777204 has 144 divisors (see below), whose sum is σ = 135851520. Its totient is φ = 13305600.

The previous prime is 45777203. The next prime is 45777211. The reversal of 45777204 is 40277754.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45777203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 405052 + ... + 405164.

Almost surely, 2^45777204 is an apocalyptic number.

45777204 is a gapful number since it is divisible by the number (44) 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 45777204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67925760).

45777204 is an abundant number, since it is smaller than the sum of its proper divisors (90074316).

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

45777204 is a wasteful number, since it uses less digits than its factorization.

45777204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 45777204 is about 6765.8853079253. The cubic root of 45777204 is about 357.7253805648.

It can be divided in two parts, 4577 and 7204, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 45777204 in words is "forty-five million, seven hundred seventy-seven thousand, two hundred four".