46776240 has 120 divisors (see below), whose sum is σ = 179551008. Its totient is φ = 10690560.

The previous prime is 46776193. The next prime is 46776253. The reversal of 46776240 is 4267764.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 46776195 and 46776204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400 + ... + 9680.

Almost surely, 2^46776240 is an apocalyptic number.

46776240 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 46776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89775504).

46776240 is an abundant number, since it is smaller than the sum of its proper divisors (132774768).

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

46776240 is a wasteful number, since it uses less digits than its factorization.

46776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 46776240 is about 6839.3157552492. The cubic root of 46776240 is about 360.3089939687.

The spelling of 46776240 in words is "forty-six million, seven hundred seventy-six thousand, two hundred forty".