46410144 has 96 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 13843200.

The previous prime is 46410137. The next prime is 46410149. The reversal of 46410144 is 44101464.

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

It is a super-2 number, since 2×46410144² = 4307802932201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (46410149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74667 + ... + 75285.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^46410144 is an apocalyptic number.

46410144 is a gapful number since it is divisible by the number (44) 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 46410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

46410144 is an abundant number, since it is smaller than the sum of its proper divisors (88581216).

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

46410144 is a wasteful number, since it uses less digits than its factorization.

46410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 46410144 is about 6812.4991009174. The cubic root of 46410144 is about 359.3665403327.

The spelling of 46410144 in words is "forty-six million, four hundred ten thousand, one hundred forty-four".