46742544 has 120 divisors (see below), whose sum is σ = 139173632. Its totient is φ = 14618880.

The previous prime is 46742543. The next prime is 46742551. The reversal of 46742544 is 44524764.

46742544 = T₁₅₇₁ + T₁₅₇₂ + ... + T₁₆₀₇.

46742544 is a `hidden beast` number, since 46 + 74 + 2 + 544 = 666.

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 = 46742499 and 46742508.

It is not an unprimeable number, because it can be changed into a prime (46742543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165027 + ... + 165309.

Almost surely, 2^46742544 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 46742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69586816).

46742544 is an abundant number, since it is smaller than the sum of its proper divisors (92431088).

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

46742544 is a wasteful number, since it uses less digits than its factorization.

46742544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 46742544 is about 6836.8519071280. The cubic root of 46742544 is about 360.2224551024. Note that the first 3 decimals are identical.

The spelling of 46742544 in words is "forty-six million, seven hundred forty-two thousand, five hundred forty-four".