44961408 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 14492160.

The previous prime is 44961403. The next prime is 44961409. The reversal of 44961408 is 80416944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44961403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35083 + ... + 36341.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^44961408 is an apocalyptic number.

44961408 is a gapful number since it is divisible by the number (48) 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 44961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

44961408 is an abundant number, since it is smaller than the sum of its proper divisors (88699392).

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

44961408 is a wasteful number, since it uses less digits than its factorization.

44961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44961408 is about 6705.3268376717. The cubic root of 44961408 is about 355.5876216450.

It can be divided in two parts, 44961 and 408, that added together give a square (45369 = 213²).

The spelling of 44961408 in words is "forty-four million, nine hundred sixty-one thousand, four hundred eight".