45431820 has 288 divisors, whose sum is σ = 175815360. Its totient is φ = 9676800.

The previous prime is 45431797. The next prime is 45431821. The reversal of 45431820 is 2813454.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45431821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449770 + ... + 449870.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^45431820 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 45431820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

45431820 is an abundant number, since it is smaller than the sum of its proper divisors (130383540).

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

45431820 is a wasteful number, since it uses less digits than its factorization.

45431820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45431820 is about 6740.3130491098. The cubic root of 45431820 is about 356.8234421077.

The spelling of 45431820 in words is "forty-five million, four hundred thirty-one thousand, eight hundred twenty".