1461408 has 48 divisors (see below), whose sum is σ = 4134816. Its totient is φ = 449280.

The previous prime is 1461407. The next prime is 1461409. The reversal of 1461408 is 8041641.

It is an interprime number because it is at equal distance from previous prime (1461407) and next prime (1461409).

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 not an unprimeable number, because it can be changed into a prime (1461401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 1833.

It is an arithmetic number, because the mean of its divisors is an integer number (86142).

2^1461408 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 1461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067408).

1461408 is an abundant number, since it is smaller than the sum of its proper divisors (2673408).

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

1461408 is a wasteful number, since it uses less digits than its factorization.

1461408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1461408 is about 1208.8870915019. The cubic root of 1461408 is about 113.4811757612.

The spelling of 1461408 in words is "one million, four hundred sixty-one thousand, four hundred eight".