4149480 has 64 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 1094400.

The previous prime is 4149469. The next prime is 4149493. The reversal of 4149480 is 849414.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 18006 + ... + 18234.

It is an arithmetic number, because the mean of its divisors is an integer number (196650).

Almost surely, 2^4149480 is an apocalyptic number.

4149480 is a gapful number since it is divisible by the number (40) 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 4149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292800).

4149480 is an abundant number, since it is smaller than the sum of its proper divisors (8436120).

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

4149480 is a wasteful number, since it uses less digits than its factorization.

4149480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4149480 is about 2037.0272457677. The cubic root of 4149480 is about 160.6933452787.

The spelling of 4149480 in words is "four million, one hundred forty-nine thousand, four hundred eighty".