46362240 has 128 divisors (see below), whose sum is σ = 164260800. Its totient is φ = 12358656.

The previous prime is 46362233. The next prime is 46362263. The reversal of 46362240 is 4226364.

46362240 is a `hidden beast` number, since 4 + 636 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×46362240³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15939 + ... + 18621.

Almost surely, 2^46362240 is an apocalyptic number.

46362240 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 46362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82130400).

46362240 is an abundant number, since it is smaller than the sum of its proper divisors (117898560).

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

46362240 is a wasteful number, since it uses less digits than its factorization.

46362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46362240 is about 6808.9823028115. The cubic root of 46362240 is about 359.2428531404.

The spelling of 46362240 in words is "forty-six million, three hundred sixty-two thousand, two hundred forty".