46652840 has 64 divisors (see below), whose sum is σ = 114685200. Its totient is φ = 16975872.

The previous prime is 46652831. The next prime is 46652849. The reversal of 46652840 is 4825664.

46652840 = T₃₁₂ + T₃₁₃ + ... + T₆₇₆.

It is an interprime number because it is at equal distance from previous prime (46652831) and next prime (46652849).

It can be written as a sum of positive squares in 8 ways, for example, as 28111204 + 18541636 = 5302^2 + 4306^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46652840.

It is not an unprimeable number, because it can be changed into a prime (46652849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37346 + ... + 38574.

Almost surely, 2^46652840 is an apocalyptic number.

46652840 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 46652840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57342600).

46652840 is an abundant number, since it is smaller than the sum of its proper divisors (68032360).

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

46652840 is a wasteful number, since it uses less digits than its factorization.

46652840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 46652840 is about 6830.2884272921. The cubic root of 46652840 is about 359.9918722445.

The spelling of 46652840 in words is "forty-six million, six hundred fifty-two thousand, eight hundred forty".