46185440 has 144 divisors (see below), whose sum is σ = 130827312. Its totient is φ = 15353856.

The previous prime is 46185437. The next prime is 46185457. The reversal of 46185440 is 4458164.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 46185397 and 46185406.

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, 337052 + ... + 337188.

It is an arithmetic number, because the mean of its divisors is an integer number (908523).

Almost surely, 2^46185440 is an apocalyptic number.

46185440 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 46185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65413656).

46185440 is an abundant number, since it is smaller than the sum of its proper divisors (84641872).

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

46185440 is a wasteful number, since it uses less digits than its factorization.

46185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 46185440 is about 6795.9870511943. The cubic root of 46185440 is about 358.7856200999.

The spelling of 46185440 in words is "forty-six million, one hundred eighty-five thousand, four hundred forty".