406460440 has 64 divisors (see below), whose sum is σ = 936813600. Its totient is φ = 158665728.

The previous prime is 406460413. The next prime is 406460449. The reversal of 406460440 is 44064604.

It is a junction number, because it is equal to n+sod(n) for n = 406460399 and 406460408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406460449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369972 + ... + 371068.

Almost surely, 2^406460440 is an apocalyptic number.

406460440 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 406460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468406800).

406460440 is an abundant number, since it is smaller than the sum of its proper divisors (530353160).

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

406460440 is a wasteful number, since it uses less digits than its factorization.

406460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 406460440 is about 20160.8640687844. The cubic root of 406460440 is about 740.7518776264.

The spelling of 406460440 in words is "four hundred six million, four hundred sixty thousand, four hundred forty".