407772 has 36 divisors (see below), whose sum is σ = 1057056. Its totient is φ = 132480.

The previous prime is 407747. The next prime is 407783. The reversal of 407772 is 277704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

407772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572 + ... + 1812.

2⁴⁰⁷⁷⁷² 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 407772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528528).

407772 is an abundant number, since it is smaller than the sum of its proper divisors (649284).

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

407772 is a wasteful number, since it uses less digits than its factorization.

407772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 407772 is about 638.5702780431. The cubic root of 407772 is about 74.1547770923.

The spelling of 407772 in words is "four hundred seven thousand, seven hundred seventy-two", and thus it is an iban number.