46400544 has 72 divisors (see below), whose sum is σ = 132612480. Its totient is φ = 15389568.

The previous prime is 46400539. The next prime is 46400567. The reversal of 46400544 is 44500464.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105477 + ... + 105915.

It is an arithmetic number, because the mean of its divisors is an integer number (1841840).

Almost surely, 2^46400544 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 46400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66306240).

46400544 is an abundant number, since it is smaller than the sum of its proper divisors (86211936).

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

46400544 is a wasteful number, since it uses less digits than its factorization.

46400544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 46400544 is about 6811.7944772284. The cubic root of 46400544 is about 359.3417601418.

The spelling of 46400544 in words is "forty-six million, four hundred thousand, five hundred forty-four".