1461978 has 48 divisors (see below), whose sum is σ = 3721536. Its totient is φ = 406080.

The previous prime is 1461973. The next prime is 1461979. The reversal of 1461978 is 8791641.

Its product of digits (12096) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1461973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5025 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (77532).

2^1461978 is an apocalyptic number.

1461978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860768).

1461978 is an abundant number, since it is smaller than the sum of its proper divisors (2259558).

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

1461978 is a wasteful number, since it uses less digits than its factorization.

1461978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1461978 is about 1209.1228225453. The cubic root of 1461978 is about 113.4959277133.

The spelling of 1461978 in words is "one million, four hundred sixty-one thousand, nine hundred seventy-eight".