400747776 has 288 divisors, whose sum is σ = 1298021760. Its totient is φ = 108134400.

The previous prime is 400747759. The next prime is 400747793. The reversal of 400747776 is 677747004.

It is an interprime number because it is at equal distance from previous prime (400747759) and next prime (400747793).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4502740 + ... + 4502828.

It is an arithmetic number, because the mean of its divisors is an integer number (4507020).

Almost surely, 2^400747776 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 400747776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649010880).

400747776 is an abundant number, since it is smaller than the sum of its proper divisors (897273984).

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

400747776 is a wasteful number, since it uses less digits than its factorization.

400747776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 400747776 is about 20018.6856711423. The cubic root of 400747776 is about 737.2651523040.

The spelling of 400747776 in words is "four hundred million, seven hundred forty-seven thousand, seven hundred seventy-six".