46952640 has 336 divisors, whose sum is σ = 196852032. Its totient is φ = 10027008.

The previous prime is 46952621. The next prime is 46952663. The reversal of 46952640 is 4625964.

46952640 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 46952595 and 46952604.

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, 342652 + ... + 342788.

Almost surely, 2^46952640 is an apocalyptic number.

46952640 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 46952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426016).

46952640 is an abundant number, since it is smaller than the sum of its proper divisors (149899392).

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

46952640 is a wasteful number, since it uses less digits than its factorization.

46952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 46952640 is about 6852.1996468287. The cubic root of 46952640 is about 360.7613516713.

The spelling of 46952640 in words is "forty-six million, nine hundred fifty-two thousand, six hundred forty".