406006496 has 48 divisors (see below), whose sum is σ = 945030240. Its totient is φ = 168000000.

The previous prime is 406006463. The next prime is 406006499. The reversal of 406006496 is 694600604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406006499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24755 + ... + 37746.

It is an arithmetic number, because the mean of its divisors is an integer number (19688130).

Almost surely, 2^406006496 is an apocalyptic number.

It is an amenable number.

406006496 is an abundant number, since it is smaller than the sum of its proper divisors (539023744).

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

406006496 is a wasteful number, since it uses less digits than its factorization.

406006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62547 (or 62539 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 406006496 is about 20149.6028744985. The cubic root of 406006496 is about 740.4760122155.

It can be divided in two parts, 40600 and 6496, that multiplied together give a square (263737600 = 16240²).

The spelling of 406006496 in words is "four hundred six million, six thousand, four hundred ninety-six".