45416436 has 48 divisors (see below), whose sum is σ = 118070400. Its totient is φ = 13491072.

The previous prime is 45416411. The next prime is 45416461. The reversal of 45416436 is 63461454.

It is an interprime number because it is at equal distance from previous prime (45416411) and next prime (45416461).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45416397 and 45416406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (2459800).

Almost surely, 2^45416436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45416436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59035200).

45416436 is an abundant number, since it is smaller than the sum of its proper divisors (72653964).

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

45416436 is a wasteful number, since it uses less digits than its factorization.

45416436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10086 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 45416436 is about 6739.1717592001. The cubic root of 45416436 is about 356.7831620313.

The spelling of 45416436 in words is "forty-five million, four hundred sixteen thousand, four hundred thirty-six".