406487748 has 144 divisors (see below), whose sum is σ = 1100288000. Its totient is φ = 116328960.

The previous prime is 406487747. The next prime is 406487771. The reversal of 406487748 is 847784604.

It is a happy number.

It is a super-2 number, since 2×406487748² = 330464578548223008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406487697 and 406487706.

It is not an unprimeable number, because it can be changed into a prime (406487743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042553 + ... + 2042751.

Almost surely, 2^406487748 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 406487748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550144000).

406487748 is an abundant number, since it is smaller than the sum of its proper divisors (693800252).

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

406487748 is a wasteful number, since it uses less digits than its factorization.

406487748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 406487748 is about 20161.5413101281. The cubic root of 406487748 is about 740.7684663661.

The spelling of 406487748 in words is "four hundred six million, four hundred eighty-seven thousand, seven hundred forty-eight".