55146440 has 64 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 21381120.

The previous prime is 55146439. The next prime is 55146449. The reversal of 55146440 is 4464155.

55146440 = 264² + 265² + ... + 568².

It can be written as a sum of positive squares in 8 ways, for example, as 2815684 + 52330756 = 1678^2 + 7234^2 .

It is a super-2 number, since 2×55146440² = 6082259689347200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55146449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236564 + ... + 236796.

Almost surely, 2^55146440 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 55146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

55146440 is an abundant number, since it is smaller than the sum of its proper divisors (72814120).

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

55146440 is a wasteful number, since it uses less digits than its factorization.

55146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 55146440 is about 7426.0649067996. The cubic root of 55146440 is about 380.6324647592.

The spelling of 55146440 in words is "fifty-five million, one hundred forty-six thousand, four hundred forty".