54649440 has 72 divisors (see below), whose sum is σ = 186496128. Its totient is φ = 14572800.

The previous prime is 54649429. The next prime is 54649447. The reversal of 54649440 is 4494645.

54649440 is a `hidden beast` number, since 5 + 4 + 649 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54649440² = 5973122584627200, 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 = 54649395 and 54649404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54649447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17536 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (2590224).

Almost surely, 2^54649440 is an apocalyptic number.

It is an amenable number.

54649440 is an abundant number, since it is smaller than the sum of its proper divisors (131846688).

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

54649440 is a wasteful number, since it uses less digits than its factorization.

54649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37972 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54649440 is about 7392.5259553146. The cubic root of 54649440 is about 379.4855457529.

The spelling of 54649440 in words is "fifty-four million, six hundred forty-nine thousand, four hundred forty".