46278624 has 96 divisors (see below), whose sum is σ = 147038976. Its totient is φ = 12441600.

The previous prime is 46278619. The next prime is 46278637. The reversal of 46278624 is 42687264.

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

It is a super-2 number, since 2×46278624² = 4283422078666752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 9399 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (1531656).

Almost surely, 2^46278624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46278624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73519488).

46278624 is an abundant number, since it is smaller than the sum of its proper divisors (100760352).

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

46278624 is a wasteful number, since it uses less digits than its factorization.

46278624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4080 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 46278624 is about 6802.8394071887. The cubic root of 46278624 is about 359.0267539541.

The spelling of 46278624 in words is "forty-six million, two hundred seventy-eight thousand, six hundred twenty-four".