366949440 has 588 divisors, whose sum is σ = 1550796492. Its totient is φ = 82114560.

The previous prime is 366949439. The next prime is 366949459. The reversal of 366949440 is 44949663.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 276623424 = 9504^2 + 16632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28226874 + ... + 28226886.

It is an arithmetic number, because the mean of its divisors is an integer number (2637409).

Almost surely, 2^366949440 is an apocalyptic number.

366949440 is a gapful number since it is divisible by the number (30) 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 366949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775398246).

366949440 is an abundant number, since it is smaller than the sum of its proper divisors (1183847052).

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

366949440 is a wasteful number, since it uses less digits than its factorization.

366949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 366949440 is about 19155.9244099574. The cubic root of 366949440 is about 715.9270027429.

The spelling of 366949440 in words is "three hundred sixty-six million, nine hundred forty-nine thousand, four hundred forty".