46150560 has 144 divisors (see below), whose sum is σ = 163459296. Its totient is φ = 12296448.

The previous prime is 46150547. The next prime is 46150561. The reversal of 46150560 is 6505164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (46150561) 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, 38287 + ... + 39473.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^46150560 is an apocalyptic number.

46150560 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 46150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648).

46150560 is an abundant number, since it is smaller than the sum of its proper divisors (117308736).

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

46150560 is a wasteful number, since it uses less digits than its factorization.

46150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 46150560 is about 6793.4203461879. The cubic root of 46150560 is about 358.6952770963.

The spelling of 46150560 in words is "forty-six million, one hundred fifty thousand, five hundred sixty".