45436776 has 128 divisors (see below), whose sum is σ = 147916800. Its totient is φ = 11278080.

The previous prime is 45436757. The next prime is 45436813. The reversal of 45436776 is 67763454.

It is a happy number.

It is a super-2 number, since 2×45436776² = 4129001226548352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41970 + ... + 43038.

It is an arithmetic number, because the mean of its divisors is an integer number (1155600).

Almost surely, 2^45436776 is an apocalyptic number.

45436776 is a gapful number since it is divisible by the number (46) 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 45436776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958400).

45436776 is an abundant number, since it is smaller than the sum of its proper divisors (102480024).

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

45436776 is a wasteful number, since it uses less digits than its factorization.

45436776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 45436776 is about 6740.6806777951. The cubic root of 45436776 is about 356.8364165140.

The spelling of 45436776 in words is "forty-five million, four hundred thirty-six thousand, seven hundred seventy-six".