46866960 has 240 divisors, whose sum is σ = 190809216. Its totient is φ = 10063872.

The previous prime is 46866959. The next prime is 46866973. The reversal of 46866960 is 6966864.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85407 + ... + 85953.

Almost surely, 2^46866960 is an apocalyptic number.

46866960 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 46866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95404608).

46866960 is an abundant number, since it is smaller than the sum of its proper divisors (143942256).

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

46866960 is a wasteful number, since it uses less digits than its factorization.

46866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 46866960 is about 6845.9447850534. The cubic root of 46866960 is about 360.5417768443.

The spelling of 46866960 in words is "forty-six million, eight hundred sixty-six thousand, nine hundred sixty".