400777740 has 192 divisors, whose sum is σ = 1374912000. Its totient is φ = 96111360.

The previous prime is 400777733. The next prime is 400777763. The reversal of 400777740 is 47777004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400777695 and 400777704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647151 + ... + 647769.

It is an arithmetic number, because the mean of its divisors is an integer number (7161000).

Almost surely, 2^400777740 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 400777740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

400777740 is an abundant number, since it is smaller than the sum of its proper divisors (974134260).

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

400777740 is a wasteful number, since it uses less digits than its factorization.

400777740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 400777740 is about 20019.4340579348. The cubic root of 400777740 is about 737.2835270056.

The spelling of 400777740 in words is "four hundred million, seven hundred seventy-seven thousand, seven hundred forty".