46701408 has 96 divisors (see below), whose sum is σ = 137846016. Its totient is φ = 13736448.

The previous prime is 46701379. The next prime is 46701433. The reversal of 46701408 is 80410764.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27891 + ... + 29517.

It is an arithmetic number, because the mean of its divisors is an integer number (1435896).

Almost surely, 2^46701408 is an apocalyptic number.

46701408 is a gapful number since it is divisible by the number (48) 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 46701408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68923008).

46701408 is an abundant number, since it is smaller than the sum of its proper divisors (91144608).

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

46701408 is a wasteful number, since it uses less digits than its factorization.

46701408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 46701408 is about 6833.8428427935. The cubic root of 46701408 is about 360.1167522552.

The spelling of 46701408 in words is "forty-six million, seven hundred one thousand, four hundred eight".