46756000 has 48 divisors (see below), whose sum is σ = 114889320. Its totient is φ = 18700800.

The previous prime is 46755991. The next prime is 46756009. The reversal of 46756000 is 65764.

It is an interprime number because it is at equal distance from previous prime (46755991) and next prime (46756009).

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 17205904 = 5436^2 + 4148^2 .

It is a super-2 number, since 2×46756000² = 4372247072000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46756000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46756009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1845 + ... + 9844.

Almost surely, 2^46756000 is an apocalyptic number.

46756000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46756000 is an abundant number, since it is smaller than the sum of its proper divisors (68133320).

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

46756000 is a wasteful number, since it uses less digits than its factorization.

46756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 46756000 is about 6837.8359149661. The cubic root of 46756000 is about 360.2570181071.

The spelling of 46756000 in words is "forty-six million, seven hundred fifty-six thousand".