405237672 has 48 divisors (see below), whose sum is σ = 1254308640. Its totient is φ = 115782048.

The previous prime is 405237649. The next prime is 405237697. The reversal of 405237672 is 276732504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401518 + ... + 402525.

It is an arithmetic number, because the mean of its divisors is an integer number (26131430).

Almost surely, 2^405237672 is an apocalyptic number.

405237672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

405237672 is an abundant number, since it is smaller than the sum of its proper divisors (849070968).

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

405237672 is a wasteful number, since it uses less digits than its factorization.

405237672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804062 (or 804055 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 405237672 is about 20130.5159397369. The cubic root of 405237672 is about 740.0083222828.

The spelling of 405237672 in words is "four hundred five million, two hundred thirty-seven thousand, six hundred seventy-two".