45483840 has 168 divisors, whose sum is σ = 165826440. Its totient is φ = 11403264.

The previous prime is 45483833. The next prime is 45483869. The reversal of 45483840 is 4838454.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 44515584 = 984^2 + 6672^2 .

It is a super-2 number, since 2×45483840² = 4137559402291200, which contains 22 as substring.

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 = 45483795 and 45483804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48496 + ... + 49424.

Almost surely, 2^45483840 is an apocalyptic number.

45483840 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 45483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82913220).

45483840 is an abundant number, since it is smaller than the sum of its proper divisors (120342600).

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

45483840 is a wasteful number, since it uses less digits than its factorization.

45483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45483840 is about 6744.1708163421. The cubic root of 45483840 is about 356.9595792571.

The spelling of 45483840 in words is "forty-five million, four hundred eighty-three thousand, eight hundred forty".