1478640 has 80 divisors (see below), whose sum is σ = 4705056. Its totient is φ = 384000.

The previous prime is 1478639. The next prime is 1478663. The reversal of 1478640 is 468741.

1478640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1478598 and 1478607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14590 + ... + 14690.

2^1478640 is an apocalyptic number.

1478640 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 1478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352528).

1478640 is an abundant number, since it is smaller than the sum of its proper divisors (3226416).

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

1478640 is a wasteful number, since it uses less digits than its factorization.

1478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1478640 is about 1215.9934210348. The cubic root of 1478640 is about 113.9254668241.

The spelling of 1478640 in words is "one million, four hundred seventy-eight thousand, six hundred forty".