408461088 has 96 divisors (see below), whose sum is σ = 1289917440. Its totient is φ = 110557440.

The previous prime is 408461087. The next prime is 408461113. The reversal of 408461088 is 880164804.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (408461087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228 + ... + 28763.

It is an arithmetic number, because the mean of its divisors is an integer number (13436640).

Almost surely, 2^408461088 is an apocalyptic number.

408461088 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 408461088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644958720).

408461088 is an abundant number, since it is smaller than the sum of its proper divisors (881456352).

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

408461088 is a wasteful number, since it uses less digits than its factorization.

408461088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32030 (or 32022 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 408461088 is about 20210.4202826166. The cubic root of 408461088 is about 741.9652461303.

The spelling of 408461088 in words is "four hundred eight million, four hundred sixty-one thousand, eighty-eight".