46273680 has 200 divisors, whose sum is σ = 165914232. Its totient is φ = 11943936.

The previous prime is 46273679. The next prime is 46273693. The reversal of 46273680 is 8637264.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 38787984 = 2736^2 + 6228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239664 + ... + 239856.

Almost surely, 2^46273680 is an apocalyptic number.

46273680 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 46273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82957116).

46273680 is an abundant number, since it is smaller than the sum of its proper divisors (119640552).

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

46273680 is a wasteful number, since it uses less digits than its factorization.

46273680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 46273680 is about 6802.4760198034. The cubic root of 46273680 is about 359.0139684149.

The spelling of 46273680 in words is "forty-six million, two hundred seventy-three thousand, six hundred eighty".