45897840 has 140 divisors (see below), whose sum is σ = 160198824. Its totient is φ = 12223872.

The previous prime is 45897833. The next prime is 45897847. The reversal of 45897840 is 4879854.

It is an interprime number because it is at equal distance from previous prime (45897833) and next prime (45897847).

It is a super-2 number, since 2×45897840² = 4213223433331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45897847) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57927 + ... + 58713.

Almost surely, 2^45897840 is an apocalyptic number.

45897840 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 45897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80099412).

45897840 is an abundant number, since it is smaller than the sum of its proper divisors (114300984).

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

45897840 is an equidigital number, since it uses as much as digits as its factorization.

45897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45897840 is about 6774.7944618269. The cubic root of 45897840 is about 358.0393410986.

The spelling of 45897840 in words is "forty-five million, eight hundred ninety-seven thousand, eight hundred forty".