46461360 has 80 divisors (see below), whose sum is σ = 157132800. Its totient is φ = 11262720.

The previous prime is 46461353. The next prime is 46461367. The reversal of 46461360 is 6316464.

It is an interprime number because it is at equal distance from previous prime (46461353) and next prime (46461367).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46461367) 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, 6160 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2^46461360 is an apocalyptic number.

46461360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46461360 is an abundant number, since it is smaller than the sum of its proper divisors (110671440).

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

46461360 is a wasteful number, since it uses less digits than its factorization.

46461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 46461360 is about 6816.2570374070. The cubic root of 46461360 is about 359.4986849379.

Subtracting from 46461360 its reverse (6316464), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 4646 and 1360, that added together give a palindrome (6006).

The spelling of 46461360 in words is "forty-six million, four hundred sixty-one thousand, three hundred sixty".