46135440 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 10782720.

The previous prime is 46135429. The next prime is 46135457. The reversal of 46135440 is 4453164.

46135440 is a `hidden beast` number, since 4 + 613 + 5 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870454 + ... + 870506.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^46135440 is an apocalyptic number.

46135440 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 46135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

46135440 is an abundant number, since it is smaller than the sum of its proper divisors (133853040).

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

46135440 is a wasteful number, since it uses less digits than its factorization.

46135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46135440 is about 6792.3074135378. The cubic root of 46135440 is about 358.6561005042.

The spelling of 46135440 in words is "forty-six million, one hundred thirty-five thousand, four hundred forty".