405150432 has 48 divisors (see below), whose sum is σ = 1070333712. Its totient is φ = 134184960.

The previous prime is 405150379. The next prime is 405150467. The reversal of 405150432 is 234051504.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1632 + ... + 28512.

It is an arithmetic number, because the mean of its divisors is an integer number (22298619).

Almost surely, 2^405150432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535166856).

405150432 is an abundant number, since it is smaller than the sum of its proper divisors (665183280).

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

405150432 is a wasteful number, since it uses less digits than its factorization.

405150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27051 (or 27043 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 405150432 is about 20128.3489635886. The cubic root of 405150432 is about 739.9552152103.

The spelling of 405150432 in words is "four hundred five million, one hundred fifty thousand, four hundred thirty-two".