46653408 has 120 divisors (see below), whose sum is σ = 140873040. Its totient is φ = 15137280.

The previous prime is 46653331. The next prime is 46653427. The reversal of 46653408 is 80435664.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106053 + ... + 106491.

It is an arithmetic number, because the mean of its divisors is an integer number (1173942).

Almost surely, 2^46653408 is an apocalyptic number.

46653408 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 46653408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70436520).

46653408 is an abundant number, since it is smaller than the sum of its proper divisors (94219632).

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

46653408 is a wasteful number, since it uses less digits than its factorization.

46653408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46653408 is about 6830.3300066688. The cubic root of 46653408 is about 359.9933332099.

The spelling of 46653408 in words is "forty-six million, six hundred fifty-three thousand, four hundred eight".