46545408 has 320 divisors, whose sum is σ = 174155520. Its totient is φ = 11943936.

The previous prime is 46545407. The next prime is 46545409. The reversal of 46545408 is 80454564.

It is an interprime number because it is at equal distance from previous prime (46545407) and next prime (46545409).

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

It is not an unprimeable number, because it can be changed into a prime (46545403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257966 + ... + 1258002.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^46545408 is an apocalyptic number.

46545408 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 46545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

46545408 is an abundant number, since it is smaller than the sum of its proper divisors (127610112).

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

46545408 is a wasteful number, since it uses less digits than its factorization.

46545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 46545408 is about 6822.4195121672. The cubic root of 46545408 is about 359.7153305129.

The spelling of 46545408 in words is "forty-six million, five hundred forty-five thousand, four hundred eight".