546618240 has 256 divisors, whose sum is σ = 2212992000. Its totient is φ = 124913664.

The previous prime is 546618229. The next prime is 546618251. The reversal of 546618240 is 42816645.

It is an interprime number because it is at equal distance from previous prime (546618229) and next prime (546618251).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 546618195 and 546618204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118701 + ... + 123219.

It is an arithmetic number, because the mean of its divisors is an integer number (8644500).

Almost surely, 2^546618240 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 546618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106496000).

546618240 is an abundant number, since it is smaller than the sum of its proper divisors (1666373760).

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

546618240 is a wasteful number, since it uses less digits than its factorization.

546618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4536 counting only the distinct ones).

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

The square root of 546618240 is about 23379.8682631019. The cubic root of 546618240 is about 817.6385759529.

The spelling of 546618240 in words is "five hundred forty-six million, six hundred eighteen thousand, two hundred forty".