1461420 has 72 divisors (see below), whose sum is σ = 4638816. Its totient is φ = 371712.

The previous prime is 1461419. The next prime is 1461437. The reversal of 1461420 is 241641.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1461393 and 1461402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3964 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (64428).

2^1461420 is an apocalyptic number.

1461420 is a gapful number since it is divisible by the number (10) 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 1461420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319408).

1461420 is an abundant number, since it is smaller than the sum of its proper divisors (3177396).

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

1461420 is a wasteful number, since it uses less digits than its factorization.

1461420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1461420 is about 1208.8920547344. The cubic root of 1461420 is about 113.4814863682.

It can be divided in two parts, 1461 and 420, that added together give a palindrome (1881).

The spelling of 1461420 in words is "one million, four hundred sixty-one thousand, four hundred twenty".