46013760 has 168 divisors, whose sum is σ = 170581320. Its totient is φ = 11317248.

The previous prime is 46013753. The next prime is 46013761. The reversal of 46013760 is 6731064.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 36869184 = 3024^2 + 6072^2 .

It is a super-2 number, since 2×46013760² = 4234532218675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46013761) 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, 36826 + ... + 38054.

It is an arithmetic number, because the mean of its divisors is an integer number (1015365).

Almost surely, 2^46013760 is an apocalyptic number.

46013760 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 46013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85290660).

46013760 is an abundant number, since it is smaller than the sum of its proper divisors (124567560).

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

46013760 is a wasteful number, since it uses less digits than its factorization.

46013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 46013760 is about 6783.3443079354. The cubic root of 46013760 is about 358.3405101621.

The spelling of 46013760 in words is "forty-six million, thirteen thousand, seven hundred sixty".