45492840 has 160 divisors (see below), whose sum is σ = 161172000. Its totient is φ = 11477376.

The previous prime is 45492823. The next prime is 45492857. The reversal of 45492840 is 4829454.

It is an interprime number because it is at equal distance from previous prime (45492823) and next prime (45492857).

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

It is a junction number, because it is equal to n+sod(n) for n = 45492795 and 45492804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61191 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (1007325).

Almost surely, 2^45492840 is an apocalyptic number.

45492840 is a gapful number since it is divisible by the number (40) 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 45492840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80586000).

45492840 is an abundant number, since it is smaller than the sum of its proper divisors (115679160).

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

45492840 is a wasteful number, since it uses less digits than its factorization.

45492840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45492840 is about 6744.8380262242. The cubic root of 45492840 is about 356.9831218629.

The spelling of 45492840 in words is "forty-five million, four hundred ninety-two thousand, eight hundred forty".