46540560 has 240 divisors, whose sum is σ = 169935552. Its totient is φ = 10444800.

The previous prime is 46540553. The next prime is 46540567. The reversal of 46540560 is 6504564.

It is an interprime number because it is at equal distance from previous prime (46540553) and next prime (46540567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46540560² = 4332047450227200, which contains 22 as substring.

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 (46540567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762930 + ... + 762990.

Almost surely, 2^46540560 is an apocalyptic number.

46540560 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 46540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84967776).

46540560 is an abundant number, since it is smaller than the sum of its proper divisors (123394992).

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

46540560 is a wasteful number, since it uses less digits than its factorization.

46540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 46540560 is about 6822.0642037436. The cubic root of 46540560 is about 359.7028412002.

The spelling of 46540560 in words is "forty-six million, five hundred forty thousand, five hundred sixty".